2(r+6)-3(r-6)=60

Solution for 2(r+6)-3(r-6)=60 equation:

Simplifying
2(r + 6) + -3(r + -6) = 60

Reorder the terms:
2(6 + r) + -3(r + -6) = 60
(6 * 2 + r * 2) + -3(r + -6) = 60
(12 + 2r) + -3(r + -6) = 60

Reorder the terms:
12 + 2r + -3(-6 + r) = 60
12 + 2r + (-6 * -3 + r * -3) = 60
12 + 2r + (18 + -3r) = 60

Reorder the terms:
12 + 18 + 2r + -3r = 60

Combine like terms: 12 + 18 = 30
30 + 2r + -3r = 60

Combine like terms: 2r + -3r = -1r
30 + -1r = 60

Solving
30 + -1r = 60

Solving for variable 'r'.

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

Add '-30' to each side of the equation.
30 + -30 + -1r = 60 + -30

Combine like terms: 30 + -30 = 0
0 + -1r = 60 + -30
-1r = 60 + -30

Combine like terms: 60 + -30 = 30
-1r = 30

Divide each side by '-1'.
r = -30

Simplifying
r = -30