https://file.aiquickdraw.com/mathbot/file/1726345416577otzvbag6.jpg

solve all problems then line up all answers

I'll now extract and solve the problems from the uploaded image. Let's start by addressing each exercise one by one. 

### Left Column (Exercises 9–22: Solve the equation)

1. **11. |m + 3| = 7**
   \[
   m + 3 = 7 \quad \text{or} \quad m + 3 = -7
   \]
   \[
   m = 4 \quad \text{or} \quad m = -10
   \]
   **Answer: 4, -10**

2. **13. |x + 3| = 13.4**
   \[
   x + 3 = 13.4 \quad \text{or} \quad x + 3 = -13.4
   \]
   \[
   x = 10.4 \quad \text{or} \quad x = -16.4
   \]
   **Answer: 10.4, -16.4**

3. **15. |3.5d| = 15.4**
   \[
   3.5d = 15.4 \quad \text{or} \quad 3.5d = -15.4
   \]
   \[
   d = 4.4 \quad \text{or} \quad d = -4.4
   \]
   **Answer: 4.4, -4.4**

4. **17. |-8w + 6| = 76**
   \[
   -8w + 6 = 76 \quad \text{or} \quad -8w + 6 = -76
   \]
   \[
   -8w = 70 \quad \text{or} \quad -8w = -82
   \]
   \[
   w = -8.75 \quad \text{or} \quad w = 10.25
   \]
   **Answer: -8.75, 10.25**

5. **19. |-4b - 5| = 13**
   \[
   -4b - 5 = 13 \quad \text{or} \quad -4b - 5 = -13
   \]
   \[
   -4b = 18 \quad \text{or} \quad -4b = -8
   \]
   \[
   b = -4.5 \quad \text{or} \quad b = 2
   \]
   **Answer: -4.5, 2**

6. **21. |x - 1| + 5 = 2**
   Subtracting 5 from both sides:
   \[
   |x - 1| = -3
   \]
   Since the absolute value cannot be negative, **no solution**.

7. **23. 9|4p + 2| + 8 = 35**
   Simplifying:
   \[
   9|4p + 2| = 27 \quad \Rightarrow \quad |4p + 2| = 3
   \]
   \[
   4p + 2 = 3 \quad \text{or} \quad 4p + 2 = -3
   \]
   \[
   4p = 1 \quad \text{or} \quad 4p = -5
   \]
   \[
   p = 0.25 \quad \text{or} \quad p = -1.25
   \]
   **Answer: 0.25, -1.25**

---

### Right Column (Exercises 29–38: Solve the equation)

1. **29. |4n - 15| = 1**
   \[
   4n - 15 = 1 \quad \text{or} \quad 4n - 15 = -1
   \]
   \[
   4n = 16 \quad \text{or} \quad 4n = 14
   \]
   \[
   n = 4 \quad \text{or} \quad n = 3.5
   \]
   **Answer: 4, 3.5**

2. **30. |2c + 8| = |10c|**
   Two cases:
   \[
   2c + 8 = 10c \quad \text{or} \quad 2c + 8 = -10c
   \]
   First case:
   \[
   8c = 8 \quad \Rightarrow \quad c = 1
   \]
   Second case:
   \[
   12c = -8 \quad \Rightarrow \quad c = -\frac{2}{3}
   \]
   **Answer: 1, -\(\frac{2}{3}\)**

3. **32. |4p - 2| = |2p + 8|**
   Two cases:
   \[
   4p - 2 = 2p + 8 \quad \text{or} \quad 4p - 2 = -(2p + 8)
   \]
   First case:
   \[
   2p = 10 \quad \Rightarrow \quad p = 5
   \]
   Second case:
   \[
   6p = -6 \quad \Rightarrow \quad p = -1
   \]
   **Answer: 5, -1**

4. **34. |4m - 1| = 3|4v + 1|**
   Simplify:
   \[
   4m - 1 = 12v + 3
   \]
   Solve

Solve all problems from the image of exercises 9–38

Step-by-step solutions to absolute value and linear equations from exercises 9–38. This collection of problems covers core algebraic concepts, such as solving absolute value equations and linear equations, ideal for students in Grades 7-9.

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