# What is the first step in solving the equation 3.5n+ 6.4=42.5?

Dec 25, 2016

$n = \frac{36.1}{3.5}$

#### Explanation:

Given -

$3.5 n + 6.4 = 42.5$

1st step - Add $- 6.4$ on both sides

$3.5 n + 6.4 - 6.4 = 42.5 - 6.4$

$3.5 n \cancel{+ 6.4} \cancel{- 6.4} = 36.1$

$3.5 n = 36.1$

2nd step - Divide both sides by $3.5$

$\frac{3.5 n}{3.5} = \frac{36.1}{3.5}$

$\frac{\cancel{3.5} n}{\cancel{3.5}} = \frac{36.1}{3.5}$

$n = \frac{36.1}{3.5}$