How do you solve #8p - 4p - ( p - 7) + 9p + 6= 12p#?

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Answer 1 · 2016-10-19T23:16:51

This equation has no solution.

Begin by distributing the understood #-1#:

#8p - 4p -(p - 7) + 9p + 6 = 12p#
#8p - 4p - p + 7 + 9p + 6 = 12p#

Now simplify the left side of the equation by combining like terms:

#12p + 13 = 12p#

Now subtract #12p# from both sides of the equation, in an attempt to get the variable terms together:

#12p - 12p + 13 = 12p - 12p#
#13 = 0#

However, the variable terms were completely eliminated, and #13# is never equal to #0#, so

#13 != 0#

is the result. This means that this equation has no solution.