Solve for z 12-4z=-7z

$12 - 4 z = - 7 z$

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

Add $7 z$ to both sides of the equation.

$12 - 4 z + 7 z = 0$

Add $- 4 z$ and $7 z$ .

$12 + 3 z = 0$

Subtract $12$ from both sides of the equation.

$3 z = - 12$

Divide each term in $3 z = - 12$ by $3$ and simplify.

Divide each term in $3 z = - 12$ by $3$ .

$\frac{3 z}{3} = \frac{- 12}{3}$

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{3 z}{3} = \frac{- 12}{3}$

Divide $z$ by $1$ .

$z = \frac{- 12}{3}$

Simplify the right side.

Divide $- 12$ by $3$ .

$z = - 4$