How do you solve #-7 ( 6 m + 6 ) - 3 m = 6 ( - 7 m - 3 ) - 5 m#?

1 Answer
Lil Del
Oct 11, 2016

The solution of the equation is #m = 12#.

Explanation:

First distribute the #-7# and the #6#. Then combine like terms to simplify each side of the equation, and then use inverse operations to solve the equation.

#-7(6m + 6) - 3m = 6(-7m - 3) - 5m#
#-42m - 42 - 3m = -42m - 18 - 5m#
#-45m - 42 = -47m - 18#
#-45m + 47m - 42 = -47m + 47m - 18#
#2m - 42 = -18#
#2m - 42 + 42 = -18 + 42#
#2m = 24#
#(2m)/2 = 24/2#
#m = 12#

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