6(1-4r)+3r=-3(3r-2)-6r

Solution for 6(1-4r)+3r=-3(3r-2)-6r equation:

Simplifying
6(1 + -4r) + 3r = -3(3r + -2) + -6r
(1 * 6 + -4r * 6) + 3r = -3(3r + -2) + -6r
(6 + -24r) + 3r = -3(3r + -2) + -6r

Combine like terms: -24r + 3r = -21r
6 + -21r = -3(3r + -2) + -6r

Reorder the terms:
6 + -21r = -3(-2 + 3r) + -6r
6 + -21r = (-2 * -3 + 3r * -3) + -6r
6 + -21r = (6 + -9r) + -6r

Combine like terms: -9r + -6r = -15r
6 + -21r = 6 + -15r

Add '-6' to each side of the equation.
6 + -6 + -21r = 6 + -6 + -15r

Combine like terms: 6 + -6 = 0
0 + -21r = 6 + -6 + -15r
-21r = 6 + -6 + -15r

Combine like terms: 6 + -6 = 0
-21r = 0 + -15r
-21r = -15r

Solving
-21r = -15r

Solving for variable 'r'.

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

Add '15r' to each side of the equation.
-21r + 15r = -15r + 15r

Combine like terms: -21r + 15r = -6r
-6r = -15r + 15r

Combine like terms: -15r + 15r = 0
-6r = 0

Divide each side by '-6'.
r = 0

Simplifying
r = 0