To simplify the expression \(10w - 3(8w + 9)\), follow these steps:
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Distribute the \(-3\) into the parentheses: \[ -3(8w + 9) = -3 \cdot 8w - 3 \cdot 9 = -24w - 27 \]
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Now, substitute this back into the expression: \[ 10w - 24w - 27 \]
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Combine the like terms: \[ (10w - 24w) - 27 = -14w - 27 \]
So, the simplified expression is: \[ \boxed{-14w - 27} \]