Question

solve the equation below. whats the value of v?subtract 6v from both sides of the equation to get rid of the 6v on the left, so that all the v terms are on the right side of the equation.$\frac{1}{2}(12v - 8) = 8v + 10$$6v - 4 = 8v + 10$$- 6v quad quad - 6v$$square = square$

Explanation:

Step1: Simplify left-hand side

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

Step2: Subtract $6v$ from both sides

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

Step3: Simplify both sides

$-4 = 2v + 10$

Step4: Isolate the $v$-term

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

Step5: Solve for $v$

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

Answer:

$v = -7$

(Note: The blanks from the subtraction step are: Left blank: $-4$, Right blank: $2v + 10$)