# How do you solve for q in s = 4p + 4q?

Jan 31, 2017

$p = \frac{s - 4 p}{4}$

#### Explanation:

Given-

$s = 4 p + 4 q$

To solve for $q$

Rewrite the equation

$4 p + 4 q = s$

Add $- 4 p$ on both sides

$\cancel{4 p} + 4 q \cancel{- 4 p} = s - 4 p$

Multiply both sides by $\frac{1}{4}$

$\frac{\cancel{4} p}{\cancel{4}} = \left(s - 4 p\right) \cdot \frac{1}{4}$

$p = \frac{s - 4 p}{4}$