Let's simplify the given expression:

\[
10(-4 + 7) - 9h
\]

### Step 1: Simplify inside the parentheses
\[
-4 + 7 = 3
\]

Now the expression becomes:
\[
10(3) - 9h
\]

### Step 2: Multiply
\[
10 \times 3 = 30
\]

Now the expression is:
\[
30 - 9h
\]

Thus, the simplified expression is:
\[
30 - 9h
\]

Would you like further details or have any questions?

Here are 5 related questions to deepen your understanding:
1. How would you solve the expression if it was \(10(-4+7) + 9h\)?
2. What if \(h = 2\)? What would be the value of the expression?
3. How do parentheses affect the operations in an expression?
4. How would you factor \(30 - 9h\) if needed?
5. Can you expand and simplify the expression \(10(2h - 5)\)?

**Tip:** Always perform operations inside parentheses first when simplifying an expression!

Explore how to simplify the algebraic expression 10(-4+7)-9h using the distributive property and basic arithmetic. Learn the step-by-step solution and strengthen your understanding of algebraic concepts. Suitable for students in Grades 6-8.

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