2(r+4)+6r=72

Solution for 2(r+4)+6r=72 equation:

Simplifying
2(r + 4) + 6r = 72

Reorder the terms:
2(4 + r) + 6r = 72
(4 * 2 + r * 2) + 6r = 72
(8 + 2r) + 6r = 72

Combine like terms: 2r + 6r = 8r
8 + 8r = 72

Solving
8 + 8r = 72

Solving for variable 'r'.

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

Add '-8' to each side of the equation.
8 + -8 + 8r = 72 + -8

Combine like terms: 8 + -8 = 0
0 + 8r = 72 + -8
8r = 72 + -8

Combine like terms: 72 + -8 = 64
8r = 64

Divide each side by '8'.
r = 8

Simplifying
r = 8