Algebra practice problems featuring equations and expressions for solving variables.

It looks like you've uploaded a list of algebraic equations, but the image is not fully visible or clear — some parts are cut off or blurry. However, I can see several numbered equations (from 52 to 75) that appear to be linear equations in one variable. Let's solve each visible equation step by step and explain the process.

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Equations:

We'll go through each one:

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#### 52) $ 54 = 28 + p $

To solve for $ p $, subtract 28 from both sides:

$$
p = 54 - 28 = 26
$$

✔ Answer: $ p = 26 $

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#### 53) $ 130 = 13x $

Divide both sides by 13:

$$
x = \frac{130}{13} = 10
$$

✔ Answer: $ x = 10 $

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#### 54) $ -20 - n + 15 $

This appears to be an expression, not an equation (no equals sign). But perhaps it's meant to be solved if set equal to something? As written, it simplifies:

$$
-20 + 15 - n = -5 - n
$$

But without an equation, we can't solve for $ n $. Maybe it's a typo?

If this was supposed to be:
$ -20 - n = 15 $, then:

$$
-n = 15 + 20 = 35 \Rightarrow n = -35
$$

But as written, it's just an expression. Let’s assume it's a typo and move on.

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#### 55) $ -23x = -851 $

Divide both sides by -23:

$$
x = \frac{-851}{-23} = 37
$$

✔ Answer: $ x = 37 $

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#### 56) $ 2 - m + 21 $

Again, this is an expression. Simplify:

$$
2 + 21 - m = 23 - m
$$

No equation → can’t solve unless more info is given.

Maybe intended as: $ 2 - m = 21 $? Then:

$$
-m = 21 - 2 = 19 \Rightarrow m = -19
$$

But again, as written, it's not solvable.

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#### 57) $ \frac{n}{5} = -31 $

Multiply both sides by 5:

$$
n = -31 \times 5 = -155
$$

✔ Answer: $ n = -155 $

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Now let's skip to the clearer ones below.

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#### 58) $ 11 - 35 = x $

$$
x = -24
$$

✔ Answer: $ x = -24 $

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#### 59) $ 2x = -36 $

$$
x = \frac{-36}{2} = -18
$$

✔ Answer: $ x = -18 $

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#### 60) $ 17 = 22 + x $

Subtract 22:

$$
x = 17 - 22 = -5
$$

✔ Answer: $ x = -5 $

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#### 61) $ 4 - 2 = 25 $ → Wait, this is not valid.

$ 4 - 2 = 2 $, not 25. This seems incorrect.

Possibly a typo. Maybe: $ 4 - 2x = 25 $? Or $ 4x - 2 = 25 $? Without clarification, we can't solve.

Assuming it's: $ 4x - 2 = 25 $

Then:
$$
4x = 27 \Rightarrow x = \frac{27}{4} = 6.75
$$

But since it's written as $ 4 - 2 = 25 $, it's invalid.

Let’s skip.

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#### 62) $ -34 + m = -25 $

Add 34 to both sides:

$$
m = -25 + 34 = 9
$$

✔ Answer: $ m = 9 $

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#### 63) $ 38x = -1402 $

Divide both sides by 38:

$$
x = \frac{-1402}{38}
$$

Simplify:

$$
\frac{-1402}{38} = -36.894... \quad \text{(Not nice)}
$$

Check: $ 38 \times 36 = 1368 $, $ 1402 - 1368 = 34 $, so:

$$
x = -\frac{1402}{38} = -\frac{701}{19} \approx -36.89
$$

But maybe it's a typo? Perhaps $ 38x = -1406 $? Then $ x = -37 $

As is: ✔ $ x = -\frac{701}{19} $ or $ \boxed{-36.8947} $

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#### 64) $ -46 = -32 + x $

Add 32 to both sides:

$$
x = -46 + 32 = -14
$$

✔ Answer: $ x = -14 $

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#### 65) $ -297 = -11k $

Divide both sides by -11:

$$
k = \frac{-297}{-11} = 27
$$

✔ Answer: $ k = 27 $

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#### 66) $ 30 = \frac{x}{37} $

Multiply both sides by 37:

$$
x = 30 \times 37 = 1110
$$

✔ Answer: $ x = 1110 $

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#### 67) $ \frac{x}{39} = -21 $

Multiply both sides by 39:

$$
x = -21 \times 39 = -819
$$

✔ Answer: $ x = -819 $

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#### 68) $ 19 + c = 5 $

Subtract 19:

$$
c = 5 - 19 = -14
$$

✔ Answer: $ c = -14 $

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#### 69) $ 13 + x = 28 $

$$
x = 28 - 13 = 15
$$

✔ Answer: $ x = 15 $

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#### 70) $ -26 - x = -49 $

Add $ x $ to both sides:

$$
-26 = -49 + x \Rightarrow x = -26 + 49 = 23
$$

Or:
$$
- x = -49 + 26 = -23 \Rightarrow x = 23
$$

✔ Answer: $ x = 23 $

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#### 71) $ m - 38 = -56 $

Add 38:

$$
m = -56 + 38 = -18
$$

✔ Answer: $ m = -18 $

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#### 72) $ -6 + m = -35 $

Add 6:

$$
m = -35 + 6 = -29
$$

✔ Answer: $ m = -29 $

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#### 73) $ 56 - 28 = m $

$$
m = 28
$$

✔ Answer: $ m = 28 $

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#### 74) $ \frac{x}{12} = -30 $

Multiply both sides by 12:

$$
x = -30 \times 12 = -360
$$

✔ Answer: $ x = -360 $

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#### 75) $ 95 + x = 36 $

Subtract 95:

$$
x = 36 - 95 = -59
$$

✔ Answer: $ x = -59 $

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✔ Summary of Solvable Equations:

| Problem | Answer |
|--------|--------|
| 52) $ 54 = 28 + p $ | $ p = 26 $ |
| 53) $ 130 = 13x $ | $ x = 10 $ |
| 55) $ -23x = -851 $ | $ x = 37 $ |
| 57) $ \frac{n}{5} = -31 $ | $ n = -155 $ |
| 58) $ 11 - 35 = x $ | $ x = -24 $ |
| 59) $ 2x = -36 $ | $ x = -18 $ |
| 60) $ 17 = 22 + x $ | $ x = -5 $ |
| 62) $ -34 + m = -25 $ | $ m = 9 $ |
| 63) $ 38x = -1402 $ | $ x = -\frac{701}{19} \approx -36.89 $ |
| 64) $ -46 = -32 + x $ | $ x = -14 $ |
| 65) $ -297 = -11k $ | $ k = 27 $ |
| 66) $ 30 = \frac{x}{37} $ | $ x = 1110 $ |
| 67) $ \frac{x}{39} = -21 $ | $ x = -819 $ |
| 68) $ 19 + c = 5 $ | $ c = -14 $ |
| 69) $ 13 + x = 28 $ | $ x = 15 $ |
| 70) $ -26 - x = -49 $ | $ x = 23 $ |
| 71) $ m - 38 = -56 $ | $ m = -18 $ |
| 72) $ -6 + m = -35 $ | $ m = -29 $ |
| 73) $ 56 - 28 = m $ | $ m = 28 $ |
| 74) $ \frac{x}{12} = -30 $ | $ x = -360 $ |
| 75) $ 95 + x = 36 $ | $ x = -59 $ |

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⚠️ Notes:
- Problems 54, 56, 61 are either expressions or incorrectly written.
- Please double-check those if they were meant to be equations.

Let me know if you'd like these formatted as a worksheet or need explanations for any specific problem!