Solve for z 4a=4b-9z

$4 a = 4 b - 9 z$

Step 1

Rewrite the equation as $4 b - 9 z = 4 a$ .

$4 b - 9 z = 4 a$

Step 2

Subtract $4 b$ from both sides of the equation.

$- 9 z = 4 a - 4 b$

Step 3

Divide each term in $- 9 z = 4 a - 4 b$ by $- 9$ and simplify.

Divide each term in $- 9 z = 4 a - 4 b$ by $- 9$ .

$\frac{- 9 z}{- 9} = \frac{4 a}{- 9} + \frac{- 4 b}{- 9}$

Simplify the left side.

Cancel the common factor of $- 9$ .

Cancel the common factor.

$\frac{- 9 z}{- 9} = \frac{4 a}{- 9} + \frac{- 4 b}{- 9}$

Divide $z$ by $1$ .

$z = \frac{4 a}{- 9} + \frac{- 4 b}{- 9}$

Simplify the right side.

Simplify each term.

Move the negative in front of the fraction.

$z = - \frac{4 a}{9} + \frac{- 4 b}{- 9}$

Dividing two negative values results in a positive value.

$z = - \frac{4 a}{9} + \frac{4 b}{9}$