To simplify the expression \( 2(3v + 9) - 14 - 6(-5v - 4) \), follow these steps:
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Distribute the 2 in the first term: \[ 2(3v) + 2(9) = 6v + 18 \]
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Distribute the -6 in the third term: \[ -6(-5v) - 6(-4) = 30v + 24 \]
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Now substitute these back into the expression: \[ 6v + 18 - 14 + 30v + 24 \]
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Combine like terms:
- Combine the \(v\) terms: \(6v + 30v = 36v\)
- Combine the constant terms: \(18 - 14 + 24 = 28\)
Thus, the simplified expression is: \[ \boxed{36v + 28} \]
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