To rewrite the expression $10(-4h + 7) - 9h$ in its simplest form:

1. Distribute the 10 to both terms inside the parentheses: $10(-4h) + 10(7) = -40h + 70$

2. Now the expression is: $-40h + 70 - 9h$

3. Combine like terms ($-40h$ and $-9h$): $-40h - 9h = -49h$

4. The simplified expression is: $-49h + 70$

So, the simplest form of $10(-4h + 7) - 9h$ is $-49h + 70$.

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Here are 5 related questions to practice:

1. Simplify: $5(3x - 2) - 4x$.
2. Combine like terms: $-12y + 7 - 5y + 2$.
3. Expand and simplify: $6(2a + 4) - 3a$.
4. Simplify: $8(3m - 1) - 5m$.
5. Expand: $7(-2x + 5) + 4x$.

Tip: Always handle distribution before combining like terms.