Simplify 2(3v+9)−14−6(−5v−4)

Question

.(1 point)
Responses

−6v−13
negative 6 v minus 13

106v+98
106 v plus 98

36v+28
36 v plus 28

−24v−20

Answer 1

Let's simplify the expression step by step:

Given:

\[ 2(3v + 9) - 14 - 6(-5v - 4) \]

1. Distribute \(2\) and \(-6\):

\[ 2(3v) + 2(9) - 14 + 6(5v) + 6(4) \] \[ = 6v + 18 - 14 + 30v + 24 \]

2. Combine like terms:

Combine \(6v\) and \(30v\):

\[ 6v + 30v = 36v \]

Now, combine the constant terms \(18\), \(-14\), and \(24\):

\[ 18 - 14 + 24 = 4 + 24 = 28 \]

3. Putting it all together, we have:

\[ 36v + 28 \]

So, the simplified result is:

36v + 28

The correct answer is:

36v + 28.