Let's simplify the expression step by step:

1. Start with the original expression:
   \[
   9(7h - 4k) + 10k - 5(6k - 7h)
   \]

2. Distribute the constants:
   \[
   9 \cdot 7h - 9 \cdot 4k + 10k - 5 \cdot 6k + 5 \cdot 7h
   \]
   This simplifies to:
   \[
   63h - 36k + 10k - 30k + 35h
   \]

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

4. So, the simplified expression is:
   \[
   98h - 56k
   \]

If you have any questions or want further details, let me know! Here are some related questions you might find interesting:

1. How do you solve equations with multiple variables?
2. What is the significance of distributing constants in algebra?
3. Can you explain how to combine like terms?
4. What are some common mistakes when simplifying expressions?
5. How can this expression be applied in a real-world scenario?

**Tip:** Always keep track of your signs when combining terms to avoid errors.

Discover the step-by-step process for simplifying the expression 9(7h−4k)+10k−5(6k−7h). This tutorial covers the distributive property and combining like terms, suitable for students in Grades 7-9.

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