3(3r+6)-2(r+6)=

Solution for 3(3r+6)-2(r+6)= equation:

Simplifying
3(3r + 6) + -2(r + 6) = 0

Reorder the terms:
3(6 + 3r) + -2(r + 6) = 0
(6 * 3 + 3r * 3) + -2(r + 6) = 0
(18 + 9r) + -2(r + 6) = 0

Reorder the terms:
18 + 9r + -2(6 + r) = 0
18 + 9r + (6 * -2 + r * -2) = 0
18 + 9r + (-12 + -2r) = 0

Reorder the terms:
18 + -12 + 9r + -2r = 0

Combine like terms: 18 + -12 = 6
6 + 9r + -2r = 0

Combine like terms: 9r + -2r = 7r
6 + 7r = 0

Solving
6 + 7r = 0

Solving for variable 'r'.

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

Add '-6' to each side of the equation.
6 + -6 + 7r = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 7r = 0 + -6
7r = 0 + -6

Combine like terms: 0 + -6 = -6
7r = -6

Divide each side by '7'.
r = -0.8571428571

Simplifying
r = -0.8571428571