https://file.aiquickdraw.com/mathbot/file/1726978277440gik645vy.jpg

The problem shown in the image is:

\[
\frac{x}{8} = -9
\]

To solve this equation using the multiplication principle, we need to eliminate the denominator by multiplying both sides of the equation by 8.

### Steps:
1. Multiply both sides by 8:
   \[
   8 \times \frac{x}{8} = 8 \times (-9)
   \]

2. On the left-hand side, the 8s cancel out, leaving:
   \[
   x = -72
   \]

### Final solution:
\[
x = -72
\]

Would you like further explanation or details?

Here are 5 related questions you might want to explore:
1. How do you solve equations that involve both multiplication and addition?
2. What happens if you multiply both sides of an inequality instead of an equation?
3. How would you solve \(\frac{x}{4} = -7\)?
4. Can you explain how to solve an equation with variables on both sides?
5. How would you check if your solution to the equation is correct?

**Tip:** Always check your solution by substituting it back into the original equation to ensure it satisfies the equation.

Solve using the multiplication principle: \(\frac{x}{8} = -9\)

Learn how to solve the linear equation \(\frac{x}{8} = -9\) using the multiplication principle. This step-by-step guide demonstrates how multiplying both sides of the equation helps find the solution for \(x = -72\). Suitable for students in Grades 6-8.

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