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!