6=2r-6+2r

Solution for 6=2r-6+2r equation:

Simplifying
6 = 2r + -6 + 2r

Reorder the terms:
6 = -6 + 2r + 2r

Combine like terms: 2r + 2r = 4r
6 = -6 + 4r

Solving
6 = -6 + 4r

Solving for variable 'r'.

Move all terms containing r to the left, all other terms to the right.

Add '-4r' to each side of the equation.
6 + -4r = -6 + 4r + -4r

Combine like terms: 4r + -4r = 0
6 + -4r = -6 + 0
6 + -4r = -6

Add '-6' to each side of the equation.
6 + -6 + -4r = -6 + -6

Combine like terms: 6 + -6 = 0
0 + -4r = -6 + -6
-4r = -6 + -6

Combine like terms: -6 + -6 = -12
-4r = -12

Divide each side by '-4'.
r = 3

Simplifying
r = 3