# How do you solve 7absn=56?

Jan 7, 2017

See full solution explanation below

#### Explanation:

First, we need to isolate the absolute value term by dividing each side of the equation by $\textcolor{red}{7}$ which also keeps the equation balanced:

$\frac{7 \left\mid n \right\mid}{\textcolor{red}{7}} = \frac{56}{\textcolor{red}{7}}$

$\frac{\textcolor{red}{\cancel{\textcolor{b l a c k}{7}}} \left\mid n \right\mid}{\cancel{\textcolor{red}{7}}} = 8$

$\left\mid n \right\mid = 8$

By definition:

$\left\mid a \right\mid = \pm a$

Therefore:

$n = \pm 8$