Question

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question 3 | take another look: collect like terms
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solve for w.
2w + 10 − 8w − 11 = 17
w =__
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Explanation:

Step1: Combine like terms

Combine the \(w\)-terms and the constant terms:
\(2w - 8w + 10 - 11 = 17\)
Simplify: \(-6w - 1 = 17\)

Step2: Isolate the \(w\)-term

Add 1 to both sides:
\(-6w - 1 + 1 = 17 + 1\)
Simplify: \(-6w = 18\)

Step3: Solve for \(w\)

Divide both sides by \(-6\):
\(w = \frac{18}{-6}\)
Simplify: \(w = -3\)

Answer:

\(-3\)