9r+6=6r+33

Solution for 9r+6=6r+33 equation:

Simplifying
9r + 6 = 6r + 33

Reorder the terms:
6 + 9r = 6r + 33

Reorder the terms:
6 + 9r = 33 + 6r

Solving
6 + 9r = 33 + 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 + 9r + -6r = 33 + 6r + -6r

Combine like terms: 9r + -6r = 3r
6 + 3r = 33 + 6r + -6r

Combine like terms: 6r + -6r = 0
6 + 3r = 33 + 0
6 + 3r = 33

Add '-6' to each side of the equation.
6 + -6 + 3r = 33 + -6

Combine like terms: 6 + -6 = 0
0 + 3r = 33 + -6
3r = 33 + -6

Combine like terms: 33 + -6 = 27
3r = 27

Divide each side by '3'.
r = 9

Simplifying
r = 9