Question

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

Answer 1

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

Explanation:

The distributive property tells us that
`color(white)("XXX")-3(6-3n) = (-3)xx6 -(-3)xx3n =-18+9n`

So
`color(white)("XXX")-3(6-3n)=-63`
is equivalent to
`color(white)("XXX")-18+9n=-63`

adding `18` to both sides
`color(white)("XXX")9n=-45`

dividing both sides by `9`
`color(white)("XXX")n=-5`