# How do you solve for each of the variable  120=5g + 20n?

Jun 21, 2015

This equation can be rearranged to give:

$g = 24 - 4 n$

or

$n = 6 - \frac{g}{4}$

#### Explanation:

First divide both sides of the equation by $5$ to get:

[1] $24 = g + 4 n$

Then subtract $4 n$ from both sides to get:

$g = 24 - 4 n$

Starting from equation [1], subtract $g$ from both sides to get:

$4 n = 24 - g$

Divide both sides by $4$ to get:

$n = 6 - \frac{g}{4}$