# How do you solve 4n-40=7(-2n+2)?

Oct 5, 2016

$n = 3$

#### Explanation:

First you want to use the foil method to solve the right side of the equation:

$4 n - 40 = - 14 n + 14$

Then you move the $- 14 n$ and the $- 40$ over to the opposite sides:

$4 n + \textcolor{b l u e}{14 n} \textcolor{red}{\cancel{\textcolor{b l a c k}{- 40}}} = \textcolor{red}{\cancel{\textcolor{b l a c k}{- 14 n}}} + \textcolor{b l u e}{40} + 14$

$18 n = 54$

Then divide $54$ by $18$:

$n = 3$