Answer
$v=3$
Work Step by Step
$$\begin{align*}
22v+14&=80 &\text{Combine like terms.}\\
22v+14-14&=80-14 &\text{Subtract 14 from each side.}\\
22v&=66 &\text{Simplify.}\\
\frac{22v}{22}&=\frac{66}{22} &\text{Divide both sides by 22.}\\
v&=3&\text{Simplify.}
\end{align*}$$
Check the answer by substituting $3$ to the variable in the given equation.
$$\begin{align*}
12v+10v+14&=80\\
12(3)+10(3)+14&\stackrel{?}{=}80\\
36+30+14&\stackrel{?}{=}80\\
80&\stackrel{\checkmark}{=}80
\end{align*}$$
Thus, the solution is $v=3$.
