Rewrite in simplest terms: 9, left parenthesis, 7, h, minus, 4, k, right parenthesis, plus, 10, k, minus, 5, left parenthesis, 6, k, minus, 7, h, right parenthesis9(7h−4k)+10k−5(6k−7h)

Let's simplify the expression:  
\[ 9(7h - 4k) + 10k - 5(6k - 7h) \]

### Step-by-step:

1. Distribute the 9 and the -5 across the parentheses:
   \[
   9 \times (7h) = 63h, \quad 9 \times (-4k) = -36k
   \]
   \[
   -5 \times (6k) = -30k, \quad -5 \times (-7h) = 35h
   \]
   So the expression becomes:
   \[
   63h - 36k + 10k - 30k + 35h
   \]

2. Combine like terms:
   - For \( h \): \( 63h + 35h = 98h \)
   - For \( k \): \( -36k + 10k - 30k = -56k \)

Thus, the simplified expression is:
\[
98h - 56k
\]

Would you like more details on the steps?

### 5 Related Questions:
1. How do you distribute terms in parentheses?
2. What are like terms, and how do you combine them?
3. What happens when you multiply negative numbers?
4. How do you factor out common terms from an expression?
5. How can simplifying expressions help solve equations?

**Tip:** Always distribute carefully and combine like terms to keep your work organized!

Rewrite in simplest terms: 9(7h−4k) + 10k − 5(6k − 7h)

Learn how to simplify the algebraic expression 9(7h − 4k) + 10k − 5(6k − 7h) through distribution and combining like terms. This solution covers key concepts such as the distributive property and combining like terms, suitable for students in Grades 8-10.

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