To simplify the expression \( 7d + 5(4 - d) \), follow these steps:
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Distribute the \( 5 \) into the parentheses: \[ 5(4 - d) = 5 \cdot 4 - 5 \cdot d = 20 - 5d \]
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Now substitute back into the original expression: \[ 7d + (20 - 5d) \]
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Combine like terms: \[ 7d - 5d + 20 = 2d + 20 \]
Therefore, the simplified expression is: \[ \boxed{2d + 20} \]