Solve for z 3z+w=p

$3 z + w = p$

Step 1

Subtract $w$ from both sides of the equation.

$3 z = p - w$

Step 2

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

Divide each term in $3 z = p - w$ by $3$ .

$\frac{3 z}{3} = \frac{p}{3} + \frac{- w}{3}$

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{3 z}{3} = \frac{p}{3} + \frac{- w}{3}$

Divide $z$ by $1$ .

$z = \frac{p}{3} + \frac{- w}{3}$

Simplify the right side.

Move the negative in front of the fraction.

$z = \frac{p}{3} - \frac{w}{3}$