Question

solve for v.
2(3v - 6) = 12
simplify your answer as much as possible.
v = \square

Explanation:

Step1: Divide both sides by 2

To isolate the term with \( v \), we first divide both sides of the equation \( 2(3v - 6)=12 \) by 2. This gives us \( \frac{2(3v - 6)}{2}=\frac{12}{2} \), which simplifies to \( 3v - 6 = 6 \).

Step2: Add 6 to both sides

Next, we add 6 to both sides of the equation \( 3v - 6 = 6 \) to get rid of the -6 on the left side. So, \( 3v - 6 + 6 = 6 + 6 \), which simplifies to \( 3v = 12 \).

Step3: Divide both sides by 3

Finally, we divide both sides of the equation \( 3v = 12 \) by 3 to solve for \( v \). This gives us \( \frac{3v}{3}=\frac{12}{3} \), so \( v = 4 \).

Answer:

\( v = 4 \)