Solve for z 7-3z-4z=28

$7 - 3 z - 4 z = 28$

Step 1

Subtract $4 z$ from $- 3 z$ .

$7 - 7 z = 28$

Step 2

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

Subtract $7$ from both sides of the equation.

$- 7 z = 28 - 7$

Subtract $7$ from $28$ .

$- 7 z = 21$

Step 3

Divide each term in $- 7 z = 21$ by $- 7$ and simplify.

Divide each term in $- 7 z = 21$ by $- 7$ .

$\frac{- 7 z}{- 7} = \frac{21}{- 7}$

Simplify the left side.

Cancel the common factor of $- 7$ .

Cancel the common factor.

$\frac{- 7 z}{- 7} = \frac{21}{- 7}$

Divide $z$ by $1$ .

$z = \frac{21}{- 7}$

Simplify the right side.

Divide $21$ by $- 7$ .

$z = - 3$