-6(2r-1)=2(3r+7)-8

Solution for -6(2r-1)=2(3r+7)-8 equation:

Simplifying
-6(2r + -1) = 2(3r + 7) + -8

Reorder the terms:
-6(-1 + 2r) = 2(3r + 7) + -8
(-1 * -6 + 2r * -6) = 2(3r + 7) + -8
(6 + -12r) = 2(3r + 7) + -8

Reorder the terms:
6 + -12r = 2(7 + 3r) + -8
6 + -12r = (7 * 2 + 3r * 2) + -8
6 + -12r = (14 + 6r) + -8

Reorder the terms:
6 + -12r = 14 + -8 + 6r

Combine like terms: 14 + -8 = 6
6 + -12r = 6 + 6r

Add '-6' to each side of the equation.
6 + -6 + -12r = 6 + -6 + 6r

Combine like terms: 6 + -6 = 0
0 + -12r = 6 + -6 + 6r
-12r = 6 + -6 + 6r

Combine like terms: 6 + -6 = 0
-12r = 0 + 6r
-12r = 6r

Solving
-12r = 6r

Solving for variable 'r'.

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

Add '-6r' to each side of the equation.
-12r + -6r = 6r + -6r

Combine like terms: -12r + -6r = -18r
-18r = 6r + -6r

Combine like terms: 6r + -6r = 0
-18r = 0

Divide each side by '-18'.
r = 0

Simplifying
r = 0