6+6(r-1)=3+12r

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

Simplifying
6 + 6(r + -1) = 3 + 12r

Reorder the terms:
6 + 6(-1 + r) = 3 + 12r
6 + (-1 * 6 + r * 6) = 3 + 12r
6 + (-6 + 6r) = 3 + 12r

Combine like terms: 6 + -6 = 0
0 + 6r = 3 + 12r
6r = 3 + 12r

Solving
6r = 3 + 12r

Solving for variable 'r'.

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

Add '-12r' to each side of the equation.
6r + -12r = 3 + 12r + -12r

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

Combine like terms: 12r + -12r = 0
-6r = 3 + 0
-6r = 3

Divide each side by '-6'.
r = -0.5

Simplifying
r = -0.5