Solve algebra equations using inverse operations.

Here are the step-by-step solutions for each equation. To solve these, we use inverse operations. This means we do the opposite math to get the variable (the letter) by itself.

* If a number is added, subtract it.
* If a number is subtracted, add it.
* If a number is multiplied, divide by it.
* If a number is divided, multiply by it.

1. $8008 = 88a$
The variable $a$ is multiplied by 88. We divide both sides by 88.
$8008 \div 88 = 91$
$a = 91$

2. $54 = a - 46$
46 is subtracted from $a$. We add 46 to both sides.
$54 + 46 = 100$
$a = 100$

3. $n + 34 = 3$
34 is added to $n$. We subtract 34 from both sides.
$3 - 34 = -31$
$n = -31$

4. $x + \frac{3}{5} = 13$
$\frac{3}{5}$ is added to $x$. We subtract $\frac{3}{5}$ from 13.
To do this, turn 13 into a fraction with a denominator of 5: $13 = \frac{65}{5}$.
$\frac{65}{5} - \frac{3}{5} = \frac{62}{5}$ (or $12 \frac{2}{5}$)
$x = \frac{62}{5}$

5. $7576.8 = 86.1a$
$a$ is multiplied by 86.1. We divide both sides by 86.1.
$7576.8 \div 86.1 = 88$
$a = 88$

6. $x - 47 = 8$
47 is subtracted from $x$. We add 47 to both sides.
$8 + 47 = 55$
$x = 55$

7. $58 + 89 = 119 + y$
First, simplify the left side: $58 + 89 = 147$.
Now we have $147 = 119 + y$.
119 is added to $y$. We subtract 119 from 147.
$147 - 119 = 28$
$y = 28$

8. $98 + y = 134$
98 is added to $y$. We subtract 98 from 134.
$134 - 98 = 36$
$y = 36$

9. $57 + y = 140$
57 is added to $y$. We subtract 57 from 140.
$140 - 57 = 83$
$y = 83$

10. $\frac{y}{52} = \frac{936}{156}$
First, simplify the right side fraction. $936 \div 156 = 6$.
Now we have $\frac{y}{52} = 6$.
$y$ is divided by 52. We multiply both sides by 52.
$6 \times 52 = 312$
$y = 312$

11. $x + 50 = 92$
50 is added to $x$. We subtract 50 from 92.
$92 - 50 = 42$
$x = 42$

12. $\frac{1}{2}b = \frac{153}{9}$
First, simplify the right side. $153 \div 9 = 17$.
Now we have $\frac{1}{2}b = 17$.
$b$ is multiplied by $\frac{1}{2}$ (which is the same as dividing by 2). To undo this, multiply by 2.
$17 \times 2 = 34$
$b = 34$

13. $x + 70 = 95 + 45$
First, simplify the right side: $95 + 45 = 140$.
Now we have $x + 70 = 140$.
Subtract 70 from 140.
$140 - 70 = 70$
$x = 70$

14. $-5b = -50$
$b$ is multiplied by -5. We divide both sides by -5.
$-50 \div -5 = 10$ (Negative divided by negative is positive)
$b = 10$

15. $2 = a - 29$
29 is subtracted from $a$. We add 29 to both sides.
$2 + 29 = 31$
$a = 31$

16. $x + 29 = 112$
29 is added to $x$. We subtract 29 from 112.
$112 - 29 = 83$
$x = 83$

17. $6336 = 64a$
$a$ is multiplied by 64. We divide both sides by 64.
$6336 \div 64 = 99$
$a = 99$

18. $16 + y = 26$
16 is added to $y$. We subtract 16 from 26.
$26 - 16 = 10$
$y = 10$

19. $\frac{y}{33} = \frac{4554}{198}$
First, simplify the right side. $4554 \div 198 = 23$.
Now we have $\frac{y}{33} = 23$.
Multiply both sides by 33.
$23 \times 33 = 759$
$y = 759$

20. $x + 96 = 179$
96 is added to $x$. We subtract 96 from 179.
$179 - 96 = 83$
$x = 83$

21. $x - 16 = 56$
16 is subtracted from $x$. We add 16 to 56.
$56 + 16 = 72$
$x = 72$

Final Answer:
1. $a = 91$
2. $a = 100$
3. $n = -31$
4. $x = \frac{62}{5}$ (or $12.4$)
5. $a = 88$
6. $x = 55$
7. $y = 28$
8. $y = 36$
9. $y = 83$
10. $y = 312$
11. $x = 42$
12. $b = 34$
13. $x = 70$
14. $b = 10$
15. $a = 31$
16. $x = 83$
17. $a = 99$
18. $y = 10$
19. $y = 759$
20. $x = 83$
21. $x = 72$