Let me analyze the image and work through the provided equations. I’ll focus on solving the problems labeled 9, 10, and 11.

Problem 9: $7(-1 + 4x) - 12x = 5$

Steps:

1. Expand $7(-1 + 4x)$:
   $-7 + 28x$.
2. The equation becomes:
   $-7 + 28x - 12x = 5$.
3. Combine like terms:
   $-7 + 16x = 5$.
4. Add 7 to both sides:
   $16x = 12$.
5. Divide by 16:
   $x = \frac{12}{16} = \frac{3}{4}$.

Solution: $x = \frac{3}{4}$.

Problem 10: $2.2n + 0.8n + 5 = 4n$

Steps:

1. Combine $2.2n + 0.8n$:
   $3n + 5 = 4n$.
2. Subtract $3n$ from both sides:
   $5 = n$.

Solution: $n = 5$.

Problem 11: $\frac{1}{3}(2x - 57) + \frac{1}{3}(6 - x) = -4$

Steps:

1. Expand each term:
   $\frac{1}{3}(2x - 57) = \frac{2x}{3} - 19$,
   $\frac{1}{3}(6 - x) = 2 - \frac{x}{3}$.
2. Combine these terms:
   $\frac{2x}{3} - 19 + 2 - \frac{x}{3} = -4$.
3. Simplify:
   $\frac{x}{3} - 17 = -4$.
4. Add 17 to both sides:
   $\frac{x}{3} = 13$.
5. Multiply through by 3:
   $x = 39$.

Solution: $x = 39$.

Summary of Solutions:

• Problem 9: $x = \frac{3}{4}$
• Problem 10: $n = 5$
• Problem 11: $x = 39$

Would you like detailed explanations for any step or additional help?

Here are 5 related questions to practice:

1. How do you simplify equations involving fractions, like in Problem 11?
2. Can you solve $3x - 5 = 2(x + 4)$?
3. How do you check if your solution to an equation is correct?
4. Solve $4.5y + 2.3 = 3y + 10.1$.
5. What are the methods to solve a linear equation with multiple variables?

Tip: Always combine like terms and simplify equations step by step to avoid errors.