Solve for k 8(4k-4)=-5k-32

$8 (4 k - 4) = - 5 k - 32$

Step 1

Simplify $8 (4 k - 4)$ .

Rewrite.

$0 + 0 + 8 (4 k - 4) = - 5 k - 32$

Simplify by adding zeros.

$8 (4 k - 4) = - 5 k - 32$

Apply the distributive property.

$8 (4 k) + 8 \cdot - 4 = - 5 k - 32$

Multiply.

Multiply $4$ by $8$ .

$32 k + 8 \cdot - 4 = - 5 k - 32$

Multiply $8$ by $- 4$ .

$32 k - 32 = - 5 k - 32$

Step 2

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

Add $5 k$ to both sides of the equation.

$32 k - 32 + 5 k = - 32$

Add $32 k$ and $5 k$ .

$37 k - 32 = - 32$

Step 3

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

Add $32$ to both sides of the equation.

$37 k = - 32 + 32$

Add $- 32$ and $32$ .

$37 k = 0$

Step 4

Divide each term in $37 k = 0$ by $37$ and simplify.

Divide each term in $37 k = 0$ by $37$ .

$\frac{37 k}{37} = \frac{0}{37}$

Simplify the left side.

Cancel the common factor of $37$ .

Cancel the common factor.

$\frac{37 k}{37} = \frac{0}{37}$

Divide $k$ by $1$ .

$k = \frac{0}{37}$

Simplify the right side.

Divide $0$ by $37$ .

$k = 0$