6(3r+1)=12(2r+8)

Solution for 6(3r+1)=12(2r+8) equation:

Simplifying
6(3r + 1) = 12(2r + 8)

Reorder the terms:
6(1 + 3r) = 12(2r + 8)
(1 * 6 + 3r * 6) = 12(2r + 8)
(6 + 18r) = 12(2r + 8)

Reorder the terms:
6 + 18r = 12(8 + 2r)
6 + 18r = (8 * 12 + 2r * 12)
6 + 18r = (96 + 24r)

Solving
6 + 18r = 96 + 24r

Solving for variable 'r'.

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

Add '-24r' to each side of the equation.
6 + 18r + -24r = 96 + 24r + -24r

Combine like terms: 18r + -24r = -6r
6 + -6r = 96 + 24r + -24r

Combine like terms: 24r + -24r = 0
6 + -6r = 96 + 0
6 + -6r = 96

Add '-6' to each side of the equation.
6 + -6 + -6r = 96 + -6

Combine like terms: 6 + -6 = 0
0 + -6r = 96 + -6
-6r = 96 + -6

Combine like terms: 96 + -6 = 90
-6r = 90

Divide each side by '-6'.
r = -15

Simplifying
r = -15