To simplify the expression \( 9(-w - 8) + w \):
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Distribute the \( 9 \) to both terms inside the parentheses: \[ 9 \cdot (-w) + 9 \cdot (-8) = -9w - 72 \]
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Now, combine it with the \( w \) outside the parentheses: \[ -9w - 72 + w \]
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Combine like terms: \[ -9w + w = -8w \]
So the simplified expression is: \[ -8w - 72 \]