Question

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

−24v−20
negative 24 v minus 20

36v+28
36 v plus 28

106v+98
106 v plus 98

−6v−13

Answer 1

To simplify the expression \( 2(3v+9)−14−6(−5v−4) \), follow these steps:

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

\[
2(3v + 9) = 6v + 18
\]

\[
-6(-5v - 4) = 30v + 24
\]

2. Replace the original expression with these simplifications:

\[
6v + 18 - 14 + 30v + 24
\]

3. Combine like terms:

- Combine \( 6v \) and \( 30v \):
\[
6v + 30v = 36v
\]

- Combine the constant terms \( 18 - 14 + 24 \):
\[
18 - 14 = 4
\]
\[
4 + 24 = 28
\]

4. Therefore, the simplified expression is:

\[
36v + 28
\]

So the correct response is:

**36v + 28**.