Questions: Simplify. 5w - 2(-5z + 7w) + 6z

Simplify. 5w - 2(-5z + 7w) + 6z
Transcript text: Simplify. \[ 5 w-2(-5 z+7 w)+6 z \]
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Solution

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Solution Steps

Step 1: Distribute the Negative Sign

Distribute \(-2\) across the terms inside the parentheses: \[ 5w - 2(-5z + 7w) = 5w + 10z - 14w \]

Step 2: Combine Like Terms

Combine the terms involving \(w\) and \(z\): \[ (5w - 14w) + 10z = -9w + 10z \]

Step 3: Add Remaining Terms

Now, include the \(6z\) from the original expression: \[ -9w + 10z + 6z = -9w + 16z \]

Final Answer

\(\boxed{-9w + 16z}\)

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