# How do you solve -6( n + 2) + 15= - 3n - 9?

May 8, 2018

n = 4

#### Explanation:

$- 6 \left(n + 2\right) + 15 = - 3 n - 9$

I expanded the brackets:
$- 6 \left(n + 2\right)$
$- 6 \times n$ and $- 6 \times 2$
$- 6 n - 12$

So now you have...
$- 6 n - 12 + 15 = - 3 n - 9$

Then you solve that...
$- 6 n - 12 + 15 = - 3 n - 9$

$- 6 n + 3 = - 3 n - 9$

$- 6 n + 3 + 3 n = - 9$
$- 3 n + 3 = - 9$

$- 3 n = - 9 - 3$
$- 3 n = - 12$

$n = \frac{- 12}{-} 3$ (-12 divided by -3)
$n = 4$