Solve the following equations: a math worksheet featuring ten basic algebra problems.

Let's solve each equation step by step.

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1. $ x + 4 = 20 $

To isolate $ x $, subtract 4 from both sides:

$$
x = 20 - 4 = 16
$$

✔ Answer: $ x = 16 $

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2. $ 14 = m + 10 $

Subtract 10 from both sides:

$$
m = 14 - 10 = 4
$$

✔ Answer: $ m = 4 $

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3. $ y - 12 = 10 $

Add 12 to both sides:

$$
y = 10 + 12 = 22
$$

✔ Answer: $ y = 22 $

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4. $ 18 = c - 20 $

Add 20 to both sides:

$$
c = 18 + 20 = 38
$$

✔ Answer: $ c = 38 $

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5. $ 6y = 36 $

Divide both sides by 6:

$$
y = \frac{36}{6} = 6
$$

✔ Answer: $ y = 6 $

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6. $ 45 = 5t $

Divide both sides by 5:

$$
t = \frac{45}{5} = 9
$$

✔ Answer: $ t = 9 $

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7. $ \frac{x}{5} = 10 $

Multiply both sides by 5:

$$
x = 10 \times 5 = 50
$$

✔ Answer: $ x = 50 $

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8. $ 3 = \frac{v}{5} $

Multiply both sides by 5:

$$
v = 3 \times 5 = 15
$$

✔ Answer: $ v = 15 $

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9. $ 18 = 9c $

Divide both sides by 9:

$$
c = \frac{18}{9} = 2
$$

✔ Answer: $ c = 2 $

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10. $ 5x = 50 $

Divide both sides by 5:

$$
x = \frac{50}{5} = 10
$$

✔ Answer: $ x = 10 $

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✔ Final Answers:

1. $ x = 16 $
2. $ m = 4 $
3. $ y = 22 $
4. $ c = 38 $
5. $ y = 6 $
6. $ t = 9 $
7. $ x = 50 $
8. $ v = 15 $
9. $ c = 2 $
10. $ x = 10 $

Let me know if you'd like these explained in a different way!