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

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

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

Reorder the terms:
2(3 + 6r) = -6(8 + -3r)
(3 * 2 + 6r * 2) = -6(8 + -3r)
(6 + 12r) = -6(8 + -3r)
6 + 12r = (8 * -6 + -3r * -6)
6 + 12r = (-48 + 18r)

Solving
6 + 12r = -48 + 18r

Solving for variable 'r'.

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

Add '-18r' to each side of the equation.
6 + 12r + -18r = -48 + 18r + -18r

Combine like terms: 12r + -18r = -6r
6 + -6r = -48 + 18r + -18r

Combine like terms: 18r + -18r = 0
6 + -6r = -48 + 0
6 + -6r = -48

Add '-6' to each side of the equation.
6 + -6 + -6r = -48 + -6

Combine like terms: 6 + -6 = 0
0 + -6r = -48 + -6
-6r = -48 + -6

Combine like terms: -48 + -6 = -54
-6r = -54

Divide each side by '-6'.
r = 9

Simplifying
r = 9