Question

solve for v.
-3v + 2 = -10v + 30
simplify your answer as much as possible.
v =

Explanation:

Step1: Add \(10v\) to both sides

To isolate the variable terms, we add \(10v\) to each side of the equation \(-3v + 2=-10v + 30\). This gives \(-3v+10v + 2=-10v + 10v+ 30\), which simplifies to \(7v+2 = 30\).

Step2: Subtract 2 from both sides

Next, we subtract 2 from both sides to isolate the term with \(v\). So, \(7v+2 - 2=30 - 2\), which simplifies to \(7v=28\).

Step3: Divide by 7

Finally, we divide both sides by 7 to solve for \(v\). \(\frac{7v}{7}=\frac{28}{7}\), so \(v = 4\).

Answer:

\(v = 4\)