Question
Solve for \( v \). \[ 20+17 v=-6+15 v \] Simplify your answer as much as possible. \( v=\square \)
Ask by Erickson Spencer. in the United States
Feb 03,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\( v = -13 \)
Solution
To solve for \( v \) in the equation:
\[
20 + 17v = -6 + 15v
\]
**Step 1:** Subtract \( 15v \) from both sides to get all the \( v \)-terms on one side.
\[
20 + 17v - 15v = -6 + 15v - 15v
\]
\[
20 + 2v = -6
\]
**Step 2:** Subtract \( 20 \) from both sides to isolate the term with \( v \).
\[
2v = -6 - 20
\]
\[
2v = -26
\]
**Step 3:** Divide both sides by \( 2 \) to solve for \( v \).
\[
v = \frac{-26}{2}
\]
\[
v = -13
\]
**Final Answer:**
\[
v = -13
\]
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution The Deep Dive
Let's solve for \( v \) step by step: 1. Start with the equation: \[ 20 + 17v = -6 + 15v \] 2. To isolate \( v \), first, let's get all the \( v \) terms on one side. Subtract \( 15v \) from both sides: \[ 20 + 17v - 15v = -6 \] This simplifies to: \[ 20 + 2v = -6 \] 3. Next, isolate \( 2v \) by subtracting 20 from both sides: \[ 2v = -6 - 20 \] So, \[ 2v = -26 \] 4. Lastly, divide both sides by 2 to solve for \( v \): \[ v = \frac{-26}{2} \] Hence, \[ v = -13 \] Thus, the solution is \( v = -13 \).
