To simplify the expression \( -4w - 9(-4w + 9) \), follow these steps:

1. Distribute the \(-9\) across the terms inside the parentheses:
\[
-4w - 9(-4w + 9) = -4w + 36w - 81
\]
2. Combine like terms:
\[
-4w + 36w - 81 = 32w - 81
\]

So, the simplified expression is:
\[
32w - 81
\]

Would you like more details, or do you have any questions about these steps?

Here are 5 related questions to explore this concept further:
1. How do you solve an equation when both sides have parentheses?
2. What happens when distributing a positive versus a negative number?
3. Can you simplify the expression \( 5x - 2(3x + 4) \)?
4. How would you solve an equation that looks like \( 2w - 5(w + 3) = 0 \)?
5. What is the general rule for combining like terms?

**Tip:** Always watch out for the signs (positive or negative) when distributing across terms in parentheses!

Learn how to simplify the algebraic expression −4w−9(−4w+9) by using the distributive property. This step-by-step solution demonstrates how to distribute and combine like terms. Ideal for students in Grades 7-9.

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