To simplify the expression \( 2(3v + 9) - 14 - 6(-5v - 4) \), let's follow the steps:
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Distribute the \(2\) and \(-6\): \[ 2(3v + 9) = 6v + 18 \] \[ -6(-5v - 4) = 30v + 24 \]
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Substitute these into the original expression: \[ 6v + 18 - 14 + 30v + 24 \]
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Combine like terms:
- Combine the \(v\) terms: \[ 6v + 30v = 36v \]
- Combine the constant terms: \[ 18 - 14 + 24 = 28 \]
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Put it all together: \[ 36v + 28 \]
Thus, the simplified expression is \( \boxed{36v + 28} \).