How do you solve #5( n + 8 ) - 3 ( - n - 5 ) = - 7 n + 4 n#?

1 Answer
Lil Del
Oct 13, 2016

The solution of the equation is #n = -5#.

Explanation:

Begin by simplifying each side of the equation. On the left side of the equation, distribute the #5# and #-3#, then combine like terms. On the right side of the equation, combine like terms.

#5(n + 8) - 3(-n - 5 = -7n + 4n#
#5n + 40 + 3n + 15 = -3n#
#8n + 55 = -3n #

Now solve the equation using inverse operations.
#8n - 8n + 55 = -3n - 8n#
#55 = -11n#
#55/-11 = (-11n)/-11#
#-5 = n#

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