Solve for z 3z+8w-1=-3-11w-2z

$3 z + 8 w - 1 = - 3 - 11 w - 2 z$

Step 1

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

Add $2 z$ to both sides of the equation.

$3 z + 8 w - 1 + 2 z = - 3 - 11 w$

Add $3 z$ and $2 z$ .

$5 z + 8 w - 1 = - 3 - 11 w$

Step 2

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

Subtract $8 w$ from both sides of the equation.

$5 z - 1 = - 3 - 11 w - 8 w$

Add $1$ to both sides of the equation.

$5 z = - 3 - 11 w - 8 w + 1$

Add $- 3$ and $1$ .

$5 z = - 11 w - 8 w - 2$

Subtract $8 w$ from $- 11 w$ .

$5 z = - 19 w - 2$

Step 3

Divide each term in $5 z = - 19 w - 2$ by $5$ and simplify.

Divide each term in $5 z = - 19 w - 2$ by $5$ .

$\frac{5 z}{5} = \frac{- 19 w}{5} + \frac{- 2}{5}$

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5 z}{5} = \frac{- 19 w}{5} + \frac{- 2}{5}$

Divide $z$ by $1$ .

$z = \frac{- 19 w}{5} + \frac{- 2}{5}$

Simplify the right side.

Simplify each term.

Move the negative in front of the fraction.

$z = - \frac{(19) w}{5} + \frac{- 2}{5}$

Move the negative in front of the fraction.

$z = - \frac{19 w}{5} - \frac{2}{5}$