6(-1+r)-3r=-5r+18

Solution for 6(-1+r)-3r=-5r+18 equation:

Simplifying
6(-1 + r) + -3r = -5r + 18
(-1 * 6 + r * 6) + -3r = -5r + 18
(-6 + 6r) + -3r = -5r + 18

Combine like terms: 6r + -3r = 3r
-6 + 3r = -5r + 18

Reorder the terms:
-6 + 3r = 18 + -5r

Solving
-6 + 3r = 18 + -5r

Solving for variable 'r'.

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

Add '5r' to each side of the equation.
-6 + 3r + 5r = 18 + -5r + 5r

Combine like terms: 3r + 5r = 8r
-6 + 8r = 18 + -5r + 5r

Combine like terms: -5r + 5r = 0
-6 + 8r = 18 + 0
-6 + 8r = 18

Add '6' to each side of the equation.
-6 + 6 + 8r = 18 + 6

Combine like terms: -6 + 6 = 0
0 + 8r = 18 + 6
8r = 18 + 6

Combine like terms: 18 + 6 = 24
8r = 24

Divide each side by '8'.
r = 3

Simplifying
r = 3