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

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

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

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

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

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

Solving
3 + 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.
3 + 3r + -6r = 6r + -6r

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

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

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

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

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

Divide each side by '-3'.
r = 1

Simplifying
r = 1