# Solve for c -2|c+7|=-8.5

-2|c+7|=-8.5
Divide each term by -2 and simplify.
Divide each term in -2|c+7|=-8.5 by -2.
-2|c+7|-2=-8.5-2
Cancel the common factor of -2.
Cancel the common factor.
-2|c+7|-2=-8.5-2
Divide |c+7| by 1.
|c+7|=-8.5-2
|c+7|=-8.5-2
Divide -8.5 by -2.
|c+7|=4.25
|c+7|=4.25
Remove the absolute value term. This creates a ± on the right side of the equation because |x|=±x.
c+7=±4.25
Set up the positive portion of the ± solution.
c+7=4.25
Move all terms not containing c to the right side of the equation.
Subtract 7 from both sides of the equation.
c=4.25-7
Subtract 7 from 4.25.
c=-2.75
c=-2.75
Set up the negative portion of the ± solution.
c+7=-4.25
Move all terms not containing c to the right side of the equation.
Subtract 7 from both sides of the equation.
c=-4.25-7
Subtract 7 from -4.25.
c=-11.25
c=-11.25
The solution to the equation includes both the positive and negative portions of the solution.
c=-2.75,-11.25
Solve for c -2|c+7|=-8.5

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