https://file.aiquickdraw.com/mathbot/file/1729717746548lpq1ncaj.jpg

Let's analyze your friend's solution to the expression \(-2(h + 8k)\).

### Expression:
\[
-2(h + 8k)
\]

### Step-by-Step Solution:

1. **Distribute the \(-2\) across the parentheses:**

\[
-2 \times h + (-2) \times 8k
\]
This gives:
\[
-2h - 16k
\]

### Your friend's solution:
- Your friend distributed \(-2\) incorrectly. They wrote:
\[
-2(h + 8k) = -2h + 16k
\]
However, the correct result should have been \(-2h - 16k\), since \(-2 \times 8k\) equals \(-16k\), not \(16k\).

### Conclusion:
Your friend is **not correct**. The correct simplification of \(-2(h + 8k)\) is:
\[
-2h - 16k
\]

Would you like more details on how distribution works, or do you have any questions?

Here are some related questions for further practice:
1. How do you distribute negative numbers across parentheses?
2. What is the distributive property and why is it important?
3. Can you simplify \( -3(2x + 5y) \)?
4. What happens when distributing over subtraction?
5. How does distribution affect signs when multiplying negative numbers?

**Tip**: Always pay attention to the signs when distributing negative numbers!

Your friend simplifies the expression -2(h + 8k) = -2h + 16k. Is your friend correct?

Learn how to simplify the expression -2(h + 8k) using the distributive property. This problem involves distributing a negative number across parentheses and understanding the effect on signs. Suitable for students in Grades 7-9.

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