# How do you solve 3-abs(6n+7)=-40?

Apr 1, 2017

$n = 6$ or $- \frac{25}{3}$

#### Explanation:

Subtract both sides by $3$: $- | 6 n + 7 | = - 40 - 3 = - 43$.
Multiply both sides by $- 1$: $| 6 n + 7 | = 43$

Now, since anything inside the absolute bars will be turned positive even if it was originally negative, we need to find when $6 n + 7 = 43$ and when $6 n + 7 = - 43$.

Solving these equations give us $n = 6$ and $- \frac{25}{3}$.