To solve the equation \( 5(h + 2) = 75 \), follow these steps:

1. **Distribute** the 5 on the left-hand side:
   \[
   5h + 10 = 75
   \]

2. **Subtract 10** from both sides to isolate the term with \( h \):
   \[
   5h = 65
   \]

3. **Divide** both sides by 5 to solve for \( h \):
   \[
   h = \frac{65}{5} = 13
   \]

So, the solution is \( h = 13 \).

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

Here are 5 related questions you might find interesting:
1. What happens if you change the 75 on the right-hand side to another number?
2. How would you solve \( 5(h + 3) = 80 \)?
3. Can you solve \( 4(h + 2) = 52 \) using similar steps?
4. What if the equation were \( 5(h + 2) = 0 \)? What would \( h \) be?
5. How would the equation change if instead of \( h \), you had \( h - 1 \)?

**Tip:** When solving equations, always remember to perform the same operation on both sides to maintain equality.

Learn how to solve the equation 5(h + 2) = 75 with a detailed step-by-step solution. This problem covers key algebraic concepts, including equations, distributive property, and division. Suitable for students in Grades 6-8.

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