The problem shown in the image is:

Simplify:
$-4(w + 6) + 2w$

Solution:

1. Distribute $-4$ to both terms inside the parentheses: $-4(w + 6) = -4w - 24$

2. Substitute back into the expression: $-4w - 24 + 2w$

3. Combine like terms (combine $-4w$ and $2w$): $(-4w + 2w) - 24 = -2w - 24$

Final Answer:

$-2w - 24$

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Related Questions:

1. How do you distribute constants across parentheses in expressions?
2. How do you combine like terms in algebraic expressions?
3. What are the steps to simplify expressions with both variables and constants?
4. Why does the order of operations matter in simplifying algebraic expressions?
5. How can you check if your simplification is correct?

Tip:

Always simplify terms step by step and double-check your distribution to avoid mistakes!