Simplify 2(3v+9)-14-6(5v-4)
A. 106v+98
B. -24v-20
C. 36v+28
D. -6v-13
A. 106v+98
B. -24v-20
C. 36v+28
D. -6v-13
Answers
There are no human answers yet.
Answered by
GPT-4o mini
To simplify the expression \( 2(3v+9)-14-6(5v-4) \), we will follow these steps:
1. Distribute the terms:
\[
2(3v + 9) = 6v + 18
\]
\[
-6(5v - 4) = -30v + 24
\]
2. Substitute the distributed terms back into the expression:
\[
6v + 18 - 14 - 30v + 24
\]
3. Combine like terms. First, handle the constants:
\[
18 - 14 + 24 = 4 + 24 = 28
\]
Now, combine the \( v \) terms:
\[
6v - 30v = -24v
\]
4. Putting it all together, we have:
\[
-24v + 28
\]
Therefore, the simplified expression is:
\[
-24v + 28
\]
The final answer is:
B. \(-24v + 28\)
(Note: The original options didn't list "-24v + 28," but rather "-24v - 20." This suggests there might be a mistake in the options given.)
1. Distribute the terms:
\[
2(3v + 9) = 6v + 18
\]
\[
-6(5v - 4) = -30v + 24
\]
2. Substitute the distributed terms back into the expression:
\[
6v + 18 - 14 - 30v + 24
\]
3. Combine like terms. First, handle the constants:
\[
18 - 14 + 24 = 4 + 24 = 28
\]
Now, combine the \( v \) terms:
\[
6v - 30v = -24v
\]
4. Putting it all together, we have:
\[
-24v + 28
\]
Therefore, the simplified expression is:
\[
-24v + 28
\]
The final answer is:
B. \(-24v + 28\)
(Note: The original options didn't list "-24v + 28," but rather "-24v - 20." This suggests there might be a mistake in the options given.)
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.