Question

solve for v. 8v + 13 = 7v + 5v - 11 simplify your answer as much as possible.

Explanation:

Step1: Combine like terms on right

$8v + 13 = (7v + 5v) - 11$
$8v + 13 = 12v - 11$

Step2: Subtract $8v$ from both sides

$8v - 8v + 13 = 12v - 8v - 11$
$13 = 4v - 11$

Step3: Add 11 to both sides

$13 + 11 = 4v - 11 + 11$
$24 = 4v$

Step4: Divide by 4 on both sides

$\frac{24}{4} = \frac{4v}{4}$
$6 = v$

Answer:

$v=6$