Let's solve the equation step by step:

Given equation:
\[
3(5 - 2h) + 9 = -30
\]

### Step 1: Distribute the 3 into the terms inside the parentheses.
\[
3 \times 5 - 3 \times 2h + 9 = -30
\]
\[
15 - 6h + 9 = -30
\]

### Step 2: Combine like terms.
\[
(15 + 9) - 6h = -30
\]
\[
24 - 6h = -30
\]

### Step 3: Subtract 24 from both sides to isolate the term with \( h \).
\[
-6h = -30 - 24
\]
\[
-6h = -54
\]

### Step 4: Divide both sides by -6 to solve for \( h \).
\[
h = \frac{-54}{-6}
\]
\[
h = 9
\]

The solution is:
\[
h = 9
\]

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

Here are 5 related questions to consider:
1. How would you solve the equation if there were an additional variable?
2. Can you verify the solution by substituting \( h = 9 \) back into the original equation?
3. What if the equation were \( 3(5 - 2h) - 9 = -30 \)? How would the solution change?
4. How do we handle equations with fractions or decimals?
5. What if the coefficient of \( h \) was positive instead of negative?

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

Learn how to solve the equation 3(5 - 2h) + 9 = -30 with a detailed step-by-step solution. This problem covers key algebraic concepts, including equations, distributive property, and solving linear equations. Suitable for students in Grades 7-9.

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