How do you solve #-10c - - 2c + c = 14#?

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Answer 1 · 2017-05-04T21:33:09

See a solution process below:

First, rewrite the equation as (remember, "minus a minus is a plus"):

#-10c + 2c + c = 14#

Next, combine like terms on the left side of the equation:

#-10c + 2c + 1c = 14#

#(-10 + 2 + 1)c = 14#

#-7c = 14#

Now, divide each side of the equation by #color(red)(-7)# to solve for #c# while keeping the equation balanced:

#(-7c)/color(red)(-7) = 14/color(red)(-7)#

#(color(red)(cancel(color(black)(-7)))c)/cancel(color(red)(-7)) = -2#

#c = -2#