Question

Simplify 2(3v+9)−14−6(−5v−4) .
106v+98
-24v-20
36v+28
-6v-13

Answer 1

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

1. Distribute the \(2\) into \( (3v + 9) \):
\[
2(3v + 9) = 6v + 18
\]

2. Distribute the \(-6\) into \((-5v - 4)\):
\[
-6(-5v - 4) = 30v + 24
\]

3. Now substitute both results back into the expression:
\[
6v + 18 - 14 + 30v + 24
\]

4. Combine like terms:
- Combine \(6v\) and \(30v\):
\[
6v + 30v = 36v
\]
- Combine the constants \(18\), \(-14\), and \(24\):
\[
18 - 14 + 24 = 28
\]

5. Thus, the final simplified expression is:
\[
36v + 28
\]

So the answer is \( \boxed{36v + 28} \).