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Let's simplify the expression step by step:
2(3v + 9) − 14 −6(−5v − 4)
First, distribute the 2 into the first parenthesis and the -6 into the second parenthesis:
= 2 * 3v + 2 * 9 − 14 −6 * (−5v) −6 * (−4)
= 6v + 18 − 14 + 30v + 24
Next, combine like terms (the terms with "v" and the constant terms separately):
= 6v + 30v + 18 − 14 + 24
= 36v + (18 + 24 − 14)
= 36v + 28
So, the simplified form of the expression is:
36v + 28
Therefore, the correct answer from the options provided is:
36v+28