6(1+3r)-8r=86

Solution for 6(1+3r)-8r=86 equation:

Simplifying
6(1 + 3r) + -8r = 86
(1 * 6 + 3r * 6) + -8r = 86
(6 + 18r) + -8r = 86

Combine like terms: 18r + -8r = 10r
6 + 10r = 86

Solving
6 + 10r = 86

Solving for variable 'r'.

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

Add '-6' to each side of the equation.
6 + -6 + 10r = 86 + -6

Combine like terms: 6 + -6 = 0
0 + 10r = 86 + -6
10r = 86 + -6

Combine like terms: 86 + -6 = 80
10r = 80

Divide each side by '10'.
r = 8

Simplifying
r = 8