Solve for k -k+4(k+1)=2k

$- k + 4 (k + 1) = 2 k$

Step 1

Simplify $- k + 4 (k + 1)$ .

Simplify each term.

Apply the distributive property.

$- k + 4 k + 4 \cdot 1 = 2 k$

Multiply $4$ by $1$ .

$- k + 4 k + 4 = 2 k$

Add $- k$ and $4 k$ .

$3 k + 4 = 2 k$

Step 2

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

Subtract $2 k$ from both sides of the equation.

$3 k + 4 - 2 k = 0$

Subtract $2 k$ from $3 k$ .

$k + 4 = 0$

Step 3

Subtract $4$ from both sides of the equation.

$k = - 4$