Let's simplify the expression step by step:
Given: \[ 2(3v + 9) - 14 - 6(-5v - 4) \]
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Distribute \(2\) to \(3v + 9\): \[ 2 \cdot 3v + 2 \cdot 9 = 6v + 18 \]
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Distribute \(-6\) to \(-5v - 4\): \[ -6 \cdot (-5v) - 6 \cdot (-4) = 30v + 24 \]
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Now, substitute back into the expression: \[ 6v + 18 - 14 + 30v + 24 \]
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Combine like terms: \[ (6v + 30v) + (18 - 14 + 24) \] \[ 36v + 28 \]
So, the simplified expression is: \[ 36v + 28 \]
The correct answer is: 36v + 28