# How do you solve -6(3n-3)=-90 using the distributive property?

May 8, 2018

color(blue)(n = 4

#### Explanation:

The distributive property lets you multiply a sum by multiplying each addend separately and then add the products.

$- 6 \left(3 n - 3\right) = - 90$

$\left(- 6 \cdot 3 n\right) + \left(- 6 \cdot - 3\right) = - 90 , \text{ using distributive property}$

$- 18 n + 18 = - 90$

$- 18 n = - 90 + 18 = - 72$

color(blue)(n =cancel (-72)^color(red)(4) / cancel(-18) = 4