Question

solve for v.
5(v + 4) = 8v + 14
simplify your answer as much as possible.
v =

Explanation:

Step1: Expand left-hand side

$5(v+4) = 5v + 20$, so equation becomes:
$5v + 20 = 8v + 14$

Step2: Isolate v terms on one side

Subtract $5v$ from both sides:
$20 = 3v + 14$

Step3: Isolate constant terms

Subtract 14 from both sides:
$6 = 3v$

Step4: Solve for v

Divide both sides by 3:
$v = \frac{6}{3} = 2$

Answer:

$v=2$