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

Oct 13, 2016

The solution of the equation is $n = 4$.

#### Explanation:

Begin by simplifying the right side of the equation by distributing the $- 3$.

$- 8 - n = - 3 \left(2 n - 4\right)$
$- 8 - n = - 6 n + 12$

Now solve the equation by using inverse operations. First get all the variable terms and constant terms together & on opposite sides of the equals sign, then solve for $n$.

$- 8 + 8 - n = - 6 n + 12 + 8$
$- n = - 6 n + 20$
$- n + 6 n = - 6 n + 6 n + 20$
$5 n = 20$
$\frac{5 n}{5} = \frac{20}{5}$
$n = 4$

Oct 13, 2016

$n = 4$

#### Explanation:

$- 8 - n = - 3 \left(2 n - 4\right)$

$- 8 - n = - 6 n + 12$

$- n + 6 n = 12 + 8$

$5 n = 20 \implies n = \frac{20}{5} = 4$