2(4r+6)=(2)(3)(12r+18)

Solution for 2(4r+6)=(2)(3)(12r+18) equation:

Simplifying
2(4r + 6) = (2)(3)(12r + 18)

Reorder the terms:
2(6 + 4r) = (2)(3)(12r + 18)
(6 * 2 + 4r * 2) = (2)(3)(12r + 18)
(12 + 8r) = (2)(3)(12r + 18)

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

Multiply 2 * 3
12 + 8r = 6(18 + 12r)
12 + 8r = (18 * 6 + 12r * 6)
12 + 8r = (108 + 72r)

Solving
12 + 8r = 108 + 72r

Solving for variable 'r'.

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

Add '-72r' to each side of the equation.
12 + 8r + -72r = 108 + 72r + -72r

Combine like terms: 8r + -72r = -64r
12 + -64r = 108 + 72r + -72r

Combine like terms: 72r + -72r = 0
12 + -64r = 108 + 0
12 + -64r = 108

Add '-12' to each side of the equation.
12 + -12 + -64r = 108 + -12

Combine like terms: 12 + -12 = 0
0 + -64r = 108 + -12
-64r = 108 + -12

Combine like terms: 108 + -12 = 96
-64r = 96

Divide each side by '-64'.
r = -1.5

Simplifying
r = -1.5