To simplify the expression \( 2(3v+9)-14-6(5v-4) \), we will follow these steps:
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Distribute the terms: \[ 2(3v + 9) = 6v + 18 \] \[ -6(5v - 4) = -30v + 24 \]
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Substitute the distributed terms back into the expression: \[ 6v + 18 - 14 - 30v + 24 \]
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Combine like terms. First, handle the constants: \[ 18 - 14 + 24 = 4 + 24 = 28 \]
Now, combine the \( v \) terms: \[ 6v - 30v = -24v \]
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Putting it all together, we have: \[ -24v + 28 \]
Therefore, the simplified expression is: \[ -24v + 28 \]
The final answer is: B. \(-24v + 28\)
(Note: The original options didn't list "-24v + 28," but rather "-24v - 20." This suggests there might be a mistake in the options given.)
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