Solve for w p=-aw+9

$p = - a w + 9$

Step 1

Rewrite the equation as $- a w + 9 = p$ .

$- a w + 9 = p$

Step 2

Subtract $9$ from both sides of the equation.

$- a w = p - 9$

Step 3

Divide each term in $- a w = p - 9$ by $- 1 a$ and simplify.

Divide each term in $- a w = p - 9$ by $- 1 a$ .

$\frac{- a w}{- 1 a} = \frac{p}{- 1 a} + \frac{- 9}{- 1 a}$

Simplify the left side.

Dividing two negative values results in a positive value.

$\frac{a w}{a} = \frac{p}{- 1 a} + \frac{- 9}{- 1 a}$

Cancel the common factor of $a$ .

Cancel the common factor.

$\frac{a w}{a} = \frac{p}{- 1 a} + \frac{- 9}{- 1 a}$

Divide $w$ by $1$ .

$w = \frac{p}{- 1 a} + \frac{- 9}{- 1 a}$

Simplify the right side.

Simplify each term.

Move the negative in front of the fraction.

$w = - \frac{p}{a} + \frac{- 9}{- 1 a}$

Dividing two negative values results in a positive value.

$w = - \frac{p}{a} + \frac{9}{a}$