Simplify 2(3v+9)−14−6(−5v−4).(1 point)

Question

Responses

36v+28
36 v plus 28

−6v−13
negative 6 v minus 13

106v+98
106 v plus 98

−24v−20

Answer 1

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