To simplify the expression \(-3 (v + 5) + 6v\), follow these steps:
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Distribute \(-3\) to both \(v\) and \(5\): \[ -3(v) - 3(5) = -3v - 15 \]
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Now, substitute this back into the expression: \[ -3v - 15 + 6v \]
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Combine like terms (\(-3v\) and \(6v\)): \[ (-3v + 6v) - 15 = 3v - 15 \]
So, the simplified expression is: \[ \boxed{3v - 15} \]