Solve for b -b=2-4(b+8)

$- b = 2 - 4 (b + 8)$

Step 1

Simplify $2 - 4 (b + 8)$ .

Simplify each term.

Apply the distributive property.

$- b = 2 - 4 b - 4 \cdot 8$

Multiply $- 4$ by $8$ .

$- b = 2 - 4 b - 32$

Subtract $32$ from $2$ .

$- b = - 4 b - 30$

Step 2

Move all terms containing $b$ to the left side of the equation.

Add $4 b$ to both sides of the equation.

$- b + 4 b = - 30$

Add $- b$ and $4 b$ .

$3 b = - 30$

Step 3

Divide each term in $3 b = - 30$ by $3$ and simplify.

Divide each term in $3 b = - 30$ by $3$ .

$\frac{3 b}{3} = \frac{- 30}{3}$

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{3 b}{3} = \frac{- 30}{3}$

Divide $b$ by $1$ .

$b = \frac{- 30}{3}$

Simplify the right side.

Divide $- 30$ by $3$ .

$b = - 10$