Question
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Answer
The simplified expression is \( -3v + 12 \).
Solution
We start with the expression:
\[
2(v+6)-5v
\]
1. **Distribute \(2\) into the parentheses:**
\[
2 \times v + 2 \times 6 - 5v = 2v + 12 - 5v
\]
2. **Combine like terms:**
\[
2v - 5v + 12 = -3v + 12
\]
The simplified expression is:
\[
-3v + 12
\]
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Simplify this solution Beyond the Answer
To simplify \( 2(v+6)-5 v \), first distribute the \( 2 \) across the terms in the parentheses: \[ 2(v) + 2(6) - 5v \] This gives you: \[ 2v + 12 - 5v \] Now, combine the like terms \( 2v \) and \( -5v \): \[ (2v - 5v) + 12 \] This simplifies to: \[ -3v + 12 \] So, the final simplified expression is: \[ -3v + 12 \]
