# Solve for r |2r-2|=12

|2r-2|=12
Remove the absolute value term. This creates a ± on the right side of the equation because |x|=±x.
2r-2=±12
Set up the positive portion of the ± solution.
2r-2=12
Solve the first equation for r.
Move all terms not containing r to the right side of the equation.
Add 2 to both sides of the equation.
2r=12+2
2r=14
2r=14
Divide each term by 2 and simplify.
Divide each term in 2r=14 by 2.
2r2=142
Cancel the common factor of 2.
Cancel the common factor.
2r2=142
Divide r by 1.
r=142
r=142
Divide 14 by 2.
r=7
r=7
r=7
Set up the negative portion of the ± solution.
2r-2=-12
Solve the second equation for r.
Move all terms not containing r to the right side of the equation.
Add 2 to both sides of the equation.
2r=-12+2
2r=-10
2r=-10
Divide each term by 2 and simplify.
Divide each term in 2r=-10 by 2.
2r2=-102
Cancel the common factor of 2.
Cancel the common factor.
2r2=-102
Divide r by 1.
r=-102
r=-102
Divide -10 by 2.
r=-5
r=-5
r=-5
The solution to the equation includes both the positive and negative portions of the solution.
r=7,-5
Solve for r |2r-2|=12

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