3r-6=6-r

Solution for 3r-6=6-r equation:

Simplifying
3r + -6 = 6 + -1r

Reorder the terms:
-6 + 3r = 6 + -1r

Solving
-6 + 3r = 6 + -1r

Solving for variable 'r'.

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

Add 'r' to each side of the equation.
-6 + 3r + r = 6 + -1r + r

Combine like terms: 3r + r = 4r
-6 + 4r = 6 + -1r + r

Combine like terms: -1r + r = 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