# How do you solve -3(6-3n)=-63 using the distributive property?

Sep 7, 2016

$n = - 5$
(see below for method)

#### Explanation:

The distributive property tells us that
$\textcolor{w h i t e}{\text{XXX}} - 3 \left(6 - 3 n\right) = \left(- 3\right) \times 6 - \left(- 3\right) \times 3 n = - 18 + 9 n$

So
$\textcolor{w h i t e}{\text{XXX}} - 3 \left(6 - 3 n\right) = - 63$
is equivalent to
$\textcolor{w h i t e}{\text{XXX}} - 18 + 9 n = - 63$

adding $18$ to both sides
$\textcolor{w h i t e}{\text{XXX}} 9 n = - 45$

dividing both sides by $9$
$\textcolor{w h i t e}{\text{XXX}} n = - 5$