# How do you solve |3n + 6| = 12?

Sep 9, 2016

Applying the absolute property that says :
If $\left\mid x \right\mid = a$ then $x = a \mathmr{and} x = - a$

Here we have $\left\mid 3 n + 6 \right\mid = 12$ then
$3 n + 6 = 12$ eq.1
Or
$3 n + 6 = - 12$ eq2

Solving the two equations we have:
in eq1:
$3 n + 6 = 12$
$\Rightarrow 3 n = 12 - 6$
$\Rightarrow 3 n = 6$
$\Rightarrow n = \frac{6}{3} = 2$

In eq2:
$3 n + 6 = - 12$
$\Rightarrow 3 n = - 12 - 6$
$\Rightarrow 3 n = - 18$
$\Rightarrow n = - \frac{18}{3} = - 6$

Therefore, $n = 2 \mathmr{and} n = - 6$