Question

solve for v.
2(2v - 7) = 22

Explanation:

Step1: Divide both sides by 2

To isolate the term with \( v \), we first divide both sides of the equation \( 2(2v - 7)=22 \) by 2. This gives us \( \frac{2(2v - 7)}{2}=\frac{22}{2} \), which simplifies to \( 2v - 7 = 11 \).

Step2: Add 7 to both sides

Next, we add 7 to both sides of the equation \( 2v - 7 = 11 \) to isolate the term with \( v \). So, \( 2v - 7 + 7 = 11 + 7 \), which simplifies to \( 2v = 18 \).

Step3: Divide by 2 to solve for v

Finally, we divide both sides of the equation \( 2v = 18 \) by 2. This gives \( \frac{2v}{2}=\frac{18}{2} \), so \( v = 9 \).

Answer:

\( v = 9 \)