# How do you solve -8(1/4n-3)=n+2?

Jun 30, 2017

$n = \frac{22}{3}$

#### Explanation:

To solve this, we need to isolate the variable ($n$) on one side, and move everything else on the other side.

First, we can use the distributive property to simplify the left side of the equation:
$- 8 \left(\frac{1}{4} n - 3\right) = n + 2$
$- 8 \left(\frac{1}{4} n\right) - \left(- 8\right) \left(3\right) = n + 2$
$- 2 n - \left(- 24\right) = n + 2$
$- 2 n + 24 = n + 2$

Adding $2 n$ to both sides, we have:
$24 = 3 n + 2$

Subtracting 2 from both sides, we have:
$22 = 3 n$

Dividing by 3 gives:
$\setminus \frac{22}{3} = n$