-2(-3r-6)=-3(r-1)

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

Simplifying
-2(-3r + -6) = -3(r + -1)

Reorder the terms:
-2(-6 + -3r) = -3(r + -1)
(-6 * -2 + -3r * -2) = -3(r + -1)
(12 + 6r) = -3(r + -1)

Reorder the terms:
12 + 6r = -3(-1 + r)
12 + 6r = (-1 * -3 + r * -3)
12 + 6r = (3 + -3r)

Solving
12 + 6r = 3 + -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.
12 + 6r + 3r = 3 + -3r + 3r

Combine like terms: 6r + 3r = 9r
12 + 9r = 3 + -3r + 3r

Combine like terms: -3r + 3r = 0
12 + 9r = 3 + 0
12 + 9r = 3

Add '-12' to each side of the equation.
12 + -12 + 9r = 3 + -12

Combine like terms: 12 + -12 = 0
0 + 9r = 3 + -12
9r = 3 + -12

Combine like terms: 3 + -12 = -9
9r = -9

Divide each side by '9'.
r = -1

Simplifying
r = -1