Solve for v 8=8v-4(v+8)

$8 = 8 v - 4 (v + 8)$

Step 1

Rewrite the equation as $8 v - 4 (v + 8) = 8$ .

$8 v - 4 (v + 8) = 8$

Step 2

Simplify $8 v - 4 (v + 8)$ .

Simplify each term.

Apply the distributive property.

$8 v - 4 v - 4 \cdot 8 = 8$

Multiply $- 4$ by $8$ .

$8 v - 4 v - 32 = 8$

Subtract $4 v$ from $8 v$ .

$4 v - 32 = 8$

Step 3

Move all terms not containing $v$ to the right side of the equation.

Add $32$ to both sides of the equation.

$4 v = 8 + 32$

Add $8$ and $32$ .

$4 v = 40$

Step 4

Divide each term in $4 v = 40$ by $4$ and simplify.

Divide each term in $4 v = 40$ by $4$ .

$\frac{4 v}{4} = \frac{40}{4}$

Simplify the left side.

Cancel the common factor of $4$ .

Cancel the common factor.

$\frac{4 v}{4} = \frac{40}{4}$

Divide $v$ by $1$ .

$v = \frac{40}{4}$

Simplify the right side.

Divide $40$ by $4$ .

$v = 10$