-6(1-3r)+2r=3(9r+12)

Solution for -6(1-3r)+2r=3(9r+12) equation:

Simplifying
-6(1 + -3r) + 2r = 3(9r + 12)
(1 * -6 + -3r * -6) + 2r = 3(9r + 12)
(-6 + 18r) + 2r = 3(9r + 12)

Combine like terms: 18r + 2r = 20r
-6 + 20r = 3(9r + 12)

Reorder the terms:
-6 + 20r = 3(12 + 9r)
-6 + 20r = (12 * 3 + 9r * 3)
-6 + 20r = (36 + 27r)

Solving
-6 + 20r = 36 + 27r

Solving for variable 'r'.

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

Add '-27r' to each side of the equation.
-6 + 20r + -27r = 36 + 27r + -27r

Combine like terms: 20r + -27r = -7r
-6 + -7r = 36 + 27r + -27r

Combine like terms: 27r + -27r = 0
-6 + -7r = 36 + 0
-6 + -7r = 36

Add '6' to each side of the equation.
-6 + 6 + -7r = 36 + 6

Combine like terms: -6 + 6 = 0
0 + -7r = 36 + 6
-7r = 36 + 6

Combine like terms: 36 + 6 = 42
-7r = 42

Divide each side by '-7'.
r = -6

Simplifying
r = -6