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

2 Answers
Oct 13, 2016

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#

Oct 13, 2016

#n=4#

Explanation:

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

#-8-n=-6n+12#

#-n+6n=12+8#

#5n=20=>n=20/5=4#