Question

How do you solve `|3n + 6| = 12`?

Answer 1

Applying the absolute property that says :
If `absx=a` then `x=a or x=-a`

Here we have `abs(3n+6)=12` then
`3n+6=12` eq.1
Or
`3n+6=-12` eq2

Solving the two equations we have:
in eq1:
`3n+6=12`
`rArr 3n=12-6`
`rArr 3n=6`
`rArr n=6/3=2`

In eq2:
`3n+6=-12`
`rArr 3n=-12-6`
`rArr 3n=-18`
`rArr n=-18/3=-6`

Therefore, `n=2 or n=-6`