https://file.aiquickdraw.com/mathbot/file/1725484904218tjzgbypp.jpg

Let's solve the equation shown in the image:

The equation is:

\[
-4(h - 15) = -16
\]

### Step 1: Divide both sides by -4 to eliminate the coefficient of the expression on the left.
\[
h - 15 = \frac{-16}{-4}
\]
\[
h - 15 = 4
\]

### Step 2: Add 15 to both sides to isolate \( h \).
\[
h = 4 + 15
\]
\[
h = 19
\]

So, the value of \( h \) is **19**.

Would you like more details, or do you have any questions?

Here are five related questions to further your understanding:
1. How do you solve similar equations if the coefficient is positive instead of negative?
2. What happens if the constant on the right side was positive?
3. How would you solve an equation if it had a fraction as a coefficient?
4. What is the next step if the equation had been \( -4(h + 15) = -16 \)?
5. How can you check if your solution is correct?

**Tip:** Always perform the inverse operation when isolating variables to maintain the equality of the equation.

Learn how to solve the two-step linear equation -4(h - 15) = -16 using inverse operations. Follow a detailed explanation, dividing by -4 and isolating h. Perfect for students in Grades 7-8 to enhance their understanding of basic algebra.

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