(r+6)=12(r-9)

Solution for (r+6)=12(r-9) equation:

Simplifying
(r + 6) = 12(r + -9)

Reorder the terms:
(6 + r) = 12(r + -9)

Remove parenthesis around (6 + r)
6 + r = 12(r + -9)

Reorder the terms:
6 + r = 12(-9 + r)
6 + r = (-9 * 12 + r * 12)
6 + r = (-108 + 12r)

Solving
6 + r = -108 + 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.
6 + r + -12r = -108 + 12r + -12r

Combine like terms: r + -12r = -11r
6 + -11r = -108 + 12r + -12r

Combine like terms: 12r + -12r = 0
6 + -11r = -108 + 0
6 + -11r = -108

Add '-6' to each side of the equation.
6 + -6 + -11r = -108 + -6

Combine like terms: 6 + -6 = 0
0 + -11r = -108 + -6
-11r = -108 + -6

Combine like terms: -108 + -6 = -114
-11r = -114

Divide each side by '-11'.
r = 10.36363636

Simplifying
r = 10.36363636