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

1 Answer
Sep 9, 2016

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#