How do you solve #-55= - 7( 6m - 3) - 4( m - 4)#?

1 Answer
radee
Nov 14, 2017

#m = 2#

Explanation:

The given is #-55 = -7(6m - 3) - 4(m -4)#

In order to solve this type of equation, you must first simplify it:
#-55 = -7(6m - 3) - 4(m -4)#
#-55 = (-42m + 21) - (4m - 16)#
#-55 = -42m + 21 - 4m + 16#
#-55 = -46m + 37#
#46m = 37 + 55#
#46m = 92#
#m = 92/46#
#m = 2#

Checking (we use the computed value of #m# and see if it satisfies the equation):
#-55 = -7(6m - 3) - 4(m -4)#
#-55 = -7(6*2 - 3) - 4(2-4)#
#-55 = -7(12 - 3) - 4(-2)#
#-55 = -7(9) - 4(-2)#
#-55 = -63 - (-8)#
#-55 = -63 + 8#
#-55 = -55#
In this case, we know that our answer is correct.

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