Question

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

Answer 1

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(2n - 4)`
`-8 - n = -6n + 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 = -6n + 12 + 8`
`-n = -6n + 20`
`-n + 6n = -6n + 6n + 20`
`5n = 20`
`(5n)/5 = 20/5`
`n = 4`

Answer 2

`n=4`

Explanation:

`-8-n=-3(2n-4)`

`-8-n=-6n+12`

`-n+6n=12+8`

`5n=20=>n=20/5=4`