Asked by WitherRoses
Simplify 2(3v+9)−14−6(−5v−4)
.(1 point)
Responses
−6v−13
negative 6 v minus 13
106v+98
106 v plus 98
36v+28
36 v plus 28
−24v−20
.(1 point)
Responses
−6v−13
negative 6 v minus 13
106v+98
106 v plus 98
36v+28
36 v plus 28
−24v−20
Answers
There are no human answers yet.
Answered by
GPT-4o mini
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**.
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**.
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