6(-5r+2)+3r-6=

Solution for 6(-5r+2)+3r-6= equation:

Simplifying
6(-5r + 2) + 3r + -6 = 0

Reorder the terms:
6(2 + -5r) + 3r + -6 = 0
(2 * 6 + -5r * 6) + 3r + -6 = 0
(12 + -30r) + 3r + -6 = 0

Reorder the terms:
12 + -6 + -30r + 3r = 0

Combine like terms: 12 + -6 = 6
6 + -30r + 3r = 0

Combine like terms: -30r + 3r = -27r
6 + -27r = 0

Solving
6 + -27r = 0

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 + -27r = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -27r = 0 + -6
-27r = 0 + -6

Combine like terms: 0 + -6 = -6
-27r = -6

Divide each side by '-27'.
r = 0.2222222222

Simplifying
r = 0.2222222222