6r-3r+6=7r-r

Solution for 6r-3r+6=7r-r equation:

Simplifying
6r + -3r + 6 = 7r + -1r

Reorder the terms:
6 + 6r + -3r = 7r + -1r

Combine like terms: 6r + -3r = 3r
6 + 3r = 7r + -1r

Combine like terms: 7r + -1r = 6r
6 + 3r = 6r

Solving
6 + 3r = 6r

Solving for variable 'r'.

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

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

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

Combine like terms: 6r + -6r = 0
6 + -3r = 0

Add '-6' to each side of the equation.
6 + -6 + -3r = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -3r = 0 + -6
-3r = 0 + -6

Combine like terms: 0 + -6 = -6
-3r = -6

Divide each side by '-3'.
r = 2

Simplifying
r = 2