3(r-8)+6(r-12)=12

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

Simplifying
3(r + -8) + 6(r + -12) = 12

Reorder the terms:
3(-8 + r) + 6(r + -12) = 12
(-8 * 3 + r * 3) + 6(r + -12) = 12
(-24 + 3r) + 6(r + -12) = 12

Reorder the terms:
-24 + 3r + 6(-12 + r) = 12
-24 + 3r + (-12 * 6 + r * 6) = 12
-24 + 3r + (-72 + 6r) = 12

Reorder the terms:
-24 + -72 + 3r + 6r = 12

Combine like terms: -24 + -72 = -96
-96 + 3r + 6r = 12

Combine like terms: 3r + 6r = 9r
-96 + 9r = 12

Solving
-96 + 9r = 12

Solving for variable 'r'.

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

Add '96' to each side of the equation.
-96 + 96 + 9r = 12 + 96

Combine like terms: -96 + 96 = 0
0 + 9r = 12 + 96
9r = 12 + 96

Combine like terms: 12 + 96 = 108
9r = 108

Divide each side by '9'.
r = 12

Simplifying
r = 12