https://file.aiquickdraw.com/mathbot/file/17272301815305dj9i6dn.jpg

Let's solve each equation from the image one by one. 

1. **\(\frac{1}{2}x = 14\)**
   - Multiply both sides by 2 to solve for \(x\):
   \[
   x = 14 \times 2 = 28
   \]

2. **\(\frac{4}{7}w = 24\)**
   - Multiply both sides by \(\frac{7}{4}\) to isolate \(w\):
   \[
   w = 24 \times \frac{7}{4} = 42
   \]

3. **\(\frac{3}{8}r = \frac{15}{16}\)**
   - Multiply both sides by \(\frac{8}{3}\) to solve for \(r\):
   \[
   r = \frac{15}{16} \times \frac{8}{3} = \frac{120}{48} = 2.5
   \]

4. **\(\frac{5}{7}c = \frac{13}{14}\)**
   - Multiply both sides by \(\frac{7}{5}\):
   \[
   c = \frac{13}{14} \times \frac{7}{5} = \frac{91}{70} = 1.3
   \]

5. **\(0.4t = 0.72\)**
   - Divide both sides by 0.4:
   \[
   t = \frac{0.72}{0.4} = 1.8
   \]

6. **\(1.8p = 19.8\)**
   - Divide both sides by 1.8:
   \[
   p = \frac{19.8}{1.8} = 11
   \]

7. **\(\frac{5}{8}y = -\frac{1}{2}\)**
   - Multiply both sides by \(\frac{8}{5}\):
   \[
   y = -\frac{1}{2} \times \frac{8}{5} = -\frac{8}{10} = -0.8
   \]

8. **\(\frac{13}{7}n = -\frac{13}{14}\)**
   - Multiply both sides by \(\frac{7}{13}\):
   \[
   n = -\frac{13}{14} \times \frac{7}{13} = -\frac{1}{2} = -0.5
   \]

9. **\(-5.2 = 0.04m\)**
   - Divide both sides by 0.04:
   \[
   m = \frac{-5.2}{0.04} = -130
   \]

10. **\(-0.8g = 3.36\)**
    - Divide both sides by -0.8:
    \[
    g = \frac{3.36}{-0.8} = -4.2
    \]

11. **\(-2h = -1.46\)**
    - Divide both sides by -2:
    \[
    h = \frac{-1.46}{-2} = 0.73
    \]

12. **\(-\frac{7}{9}s = -\frac{1}{3}\)**
    - Multiply both sides by \(\frac{9}{7}\):
    \[
    s = \frac{-1}{3} \times \frac{9}{7} = \frac{3}{7}
    \]

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Would you like further details on any of these steps?

### Related Questions:
1. How can you verify the solution to an equation by substitution?
2. What are the steps for solving equations with fractions?
3. How can you solve an equation when both sides are negative?
4. What is the general approach to solving linear equations?
5. How do you deal with decimals when solving algebraic equations?

### Tip:
Always double-check your solution by substituting it back into the original equation to ensure that both sides remain equal.

This exercise involves solving a variety of linear equations that include fractions and decimals. Learn how to isolate variables using multiplication and division properties of equality, suitable for students in Grades 7-9.

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