6(1+9r)-6r=-33+9r

Solution for 6(1+9r)-6r=-33+9r equation:

Simplifying
6(1 + 9r) + -6r = -33 + 9r
(1 * 6 + 9r * 6) + -6r = -33 + 9r
(6 + 54r) + -6r = -33 + 9r

Combine like terms: 54r + -6r = 48r
6 + 48r = -33 + 9r

Solving
6 + 48r = -33 + 9r

Solving for variable 'r'.

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

Add '-9r' to each side of the equation.
6 + 48r + -9r = -33 + 9r + -9r

Combine like terms: 48r + -9r = 39r
6 + 39r = -33 + 9r + -9r

Combine like terms: 9r + -9r = 0
6 + 39r = -33 + 0
6 + 39r = -33

Add '-6' to each side of the equation.
6 + -6 + 39r = -33 + -6

Combine like terms: 6 + -6 = 0
0 + 39r = -33 + -6
39r = -33 + -6

Combine like terms: -33 + -6 = -39
39r = -39

Divide each side by '39'.
r = -1

Simplifying
r = -1