6r+6=3(r+6)

Solution for 6r+6=3(r+6) equation:

Simplifying
6r + 6 = 3(r + 6)

Reorder the terms:
6 + 6r = 3(r + 6)

Reorder the terms:
6 + 6r = 3(6 + r)
6 + 6r = (6 * 3 + r * 3)
6 + 6r = (18 + 3r)

Solving
6 + 6r = 18 + 3r

Solving for variable 'r'.

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

Add '-3r' to each side of the equation.
6 + 6r + -3r = 18 + 3r + -3r

Combine like terms: 6r + -3r = 3r
6 + 3r = 18 + 3r + -3r

Combine like terms: 3r + -3r = 0
6 + 3r = 18 + 0
6 + 3r = 18

Add '-6' to each side of the equation.
6 + -6 + 3r = 18 + -6

Combine like terms: 6 + -6 = 0
0 + 3r = 18 + -6
3r = 18 + -6

Combine like terms: 18 + -6 = 12
3r = 12

Divide each side by '3'.
r = 4

Simplifying
r = 4