Question

Question was provided via image upload.

Explanation:

Step1: Simplify left side

$\frac{1}{2}(12v - 8) = 6v - 4$

Step2: Set up full equation

$6v - 4 = 8v + 10$

Step3: Subtract $6v$ from both sides

$6v - 4 - 6v = 8v + 10 - 6v$
$-4 = 2v + 10$

Step4: Subtract 10 from both sides

$-4 - 10 = 2v + 10 - 10$
$-14 = 2v$

Step5: Solve for $v$

$v = \frac{-14}{2} = -7$

Answer:

Left box: $\boldsymbol{-14}$
Right box: $\boldsymbol{2v}$
Final value of $v$: $\boldsymbol{-7}$