How do you solve #-2t + 2(4t + 1) = 2(4t-3) + 6#?

1 Answer
Kevin G.
Dec 14, 2015

#t = 1#

Explanation:

The easiest way to solve this is to simplify both sides. First, we'll use the Distributive Property to simplify both sides:

#-2t + 2(4t+1) = 2(4t-3) +6#
#-2t + 8t +2 = 8t-6+6#

We then simplify by combining like terms:

#-2t + 8t +2=8t - 6 +6#
#6t + 2 = 8t#

And finally use our Algebra I skills to isolate #t#:

#6t + 2 = 8t#
#2 = 2t#
#t = 1#

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