-2|c+7|=-8.5

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

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

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