To simplify the expression \( 2(3v + 9) - 14 - 6(-5v - 4) \), we can follow these steps:
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Distribute the constants in front of the parentheses:
\[ 2(3v + 9) = 6v + 18 \]
\[ -6(-5v - 4) = 30v + 24 \]
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Substitute these results back into the expression:
\[ 6v + 18 - 14 + 30v + 24 \]
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Now, combine like terms:
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Combine the \( v \) terms: \[ 6v + 30v = 36v \]
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Combine the constant terms: \[ 18 - 14 + 24 = 28 \]
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Putting it all together, we have:
\[ 36v + 28 \]
Thus, the simplified expression is:
\[ \boxed{36v + 28} \]