I see you've uploaded an image with several algebraic equations. Let's go through each one to solve them step by step.

Top Row:

1. Equation 1: $8z = 7z - 7$ Subtract $7z$ from both sides: $8z - 7z = -7 \implies z = -7$

2. Equation 2: $7z = 39 - 6z$ Add $6z$ to both sides: $7z + 6z = 39 \implies 13z = 39$ Now divide by 13: $z = 39 / 13 = 3$

3. Equation 3: $5q = 44 - 6q$ Add $6q$ to both sides: $5q + 6q = 44 \implies 11q = 44$ Now divide by 11: $q = 44 / 11 = 4$

Middle Row:

4. Equation 4: $-12a - 8 = -16a$ Add $12a$ to both sides: $-8 = -16a + 12a \implies -8 = -4a$ Now divide by $-4$: $a = -8 / -4 = 2$

5. Equation 5: $9k = 8k - 11$ Subtract $8k$ from both sides: $9k - 8k = -11 \implies k = -11$

6. Equation 6: $b = -4b - 15$ Add $4b$ to both sides: $b + 4b = -15 \implies 5b = -15$ Now divide by 5: $b = -15 / 5 = -3$

Bottom Row:

7. Equation 7: $4x + 36 = 10x$ Subtract $4x$ from both sides: $36 = 6x$ Now divide by 6: $x = 36 / 6 = 6$

8. Equation 8: $c = -3c - 20$ Add $3c$ to both sides: $c + 3c = -20 \implies 4c = -20$ Now divide by 4: $c = -20 / 4 = -5$

9. Equation 9: $6x + 27 = 9x$ Subtract $6x$ from both sides: $27 = 3x$ Now divide by 3: $x = 27 / 3 = 9$

Would you like any more detailed steps for a specific equation? Here are some related questions to consider:

1. What happens if both variables have the same coefficient?
2. How do you deal with negative variables?
3. What do you do when a variable appears on both sides of the equation?
4. How can you check if your solution is correct?
5. How do equations change when fractions are involved?

Tip: Always simplify the equation as much as possible before solving it to avoid unnecessary steps.