Rewrite in simplest terms: 10, left parenthesis, minus, 4, h, plus, 7, right parenthesis, minus, 9, h10(−4h+7)−9h

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 \( -49h + 70 \).

Do you want further details or have any questions?

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.

Rewrite in simplest terms: 10(−4h + 7) − 9h

Learn how to simplify the algebraic expression 10(−4h + 7) − 9h by applying the distributive property and combining like terms. This problem helps students practice key algebraic concepts suitable for Grades 7-9.

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