6(r+6)=[3-(r+8)]3

Solution for 6(r+6)=[3-(r+8)]3 equation:

Simplifying
6(r + 6) = [3 + -1(r + 8)] * 3

Reorder the terms:
6(6 + r) = [3 + -1(r + 8)] * 3
(6 * 6 + r * 6) = [3 + -1(r + 8)] * 3
(36 + 6r) = [3 + -1(r + 8)] * 3

Reorder the terms:
36 + 6r = [3 + -1(8 + r)] * 3
36 + 6r = [3 + (8 * -1 + r * -1)] * 3
36 + 6r = [3 + (-8 + -1r)] * 3

Combine like terms: 3 + -8 = -5
36 + 6r = [-5 + -1r] * 3

Reorder the terms for easier multiplication:
36 + 6r = 3[-5 + -1r]
36 + 6r = [-5 * 3 + -1r * 3]
36 + 6r = [-15 + -3r]

Solving
36 + 6r = -15 + -3r

Solving for variable 'r'.

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

Add '3r' to each side of the equation.
36 + 6r + 3r = -15 + -3r + 3r

Combine like terms: 6r + 3r = 9r
36 + 9r = -15 + -3r + 3r

Combine like terms: -3r + 3r = 0
36 + 9r = -15 + 0
36 + 9r = -15

Add '-36' to each side of the equation.
36 + -36 + 9r = -15 + -36

Combine like terms: 36 + -36 = 0
0 + 9r = -15 + -36
9r = -15 + -36

Combine like terms: -15 + -36 = -51
9r = -51

Divide each side by '9'.
r = -5.666666667

Simplifying
r = -5.666666667