Solve for k -24-10k=-8(k+4)-2k

$- 24 - 10 k = - 8 (k + 4) - 2 k$

Since $k$ is on the right side of the equation, switch the sides so it is on the left side of the equation.

$- 8 (k + 4) - 2 k = - 24 - 10 k$

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

Simplify each term.

Apply the distributive property.

$- 8 k - 8 \cdot 4 - 2 k = - 24 - 10 k$

Multiply $- 8$ by $4$ .

$- 8 k - 32 - 2 k = - 24 - 10 k$

Subtract $2 k$ from $- 8 k$ .

$- 10 k - 32 = - 24 - 10 k$

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

Add $10 k$ to both sides of the equation.

$- 10 k - 32 + 10 k = - 24$

Combine the opposite terms in $- 10 k - 32 + 10 k$ .

Add $- 10 k$ and $10 k$ .

$0 - 32 = - 24$

Subtract $32$ from $0$ .

$- 32 = - 24$

Since $- 32 \neq - 24$ , there are no solutions.

No solution