Question

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

−6v−13
negative 6 v minus 13

−24v−20
negative 24 v minus 20

36v+28
36 v plus 28

106v+98

Answer 1

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

1. Distribute the 2 and -6:
\[
2(3v + 9) = 6v + 18
\]
\[
-6(-5v - 4) = 30v + 24
\]

2. Substitute these back into the expression:
\[
6v + 18 - 14 + 30v + 24
\]

3. Combine like terms:
- Combine the \( v \) terms:
\[
6v + 30v = 36v
\]
- Combine the constant terms:
\[
18 - 14 + 24 = 28
\]

4. Putting it all together, we get:
\[
36v + 28
\]

So the simplified expression is \( 36v + 28 \).

The correct response is:
**36v+28** (36 v plus 28)