To simplify the expression \( 3(v + 6) - 7v \), follow these steps:
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Distribute \( 3 \) to both terms inside the parentheses: \[ 3(v + 6) = 3v + 18 \]
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Now substitute this back into the expression: \[ 3v + 18 - 7v \]
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Combine like terms (\( 3v \) and \( -7v \)): \[ (3v - 7v) + 18 = -4v + 18 \]
So, the simplified expression is: \[ -4v + 18 \]