6+18r-1=9r+109-4r

Solution for 6+18r-1=9r+109-4r equation:

Simplifying
6 + 18r + -1 = 9r + 109 + -4r

Reorder the terms:
6 + -1 + 18r = 9r + 109 + -4r

Combine like terms: 6 + -1 = 5
5 + 18r = 9r + 109 + -4r

Reorder the terms:
5 + 18r = 109 + 9r + -4r

Combine like terms: 9r + -4r = 5r
5 + 18r = 109 + 5r

Solving
5 + 18r = 109 + 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.
5 + 18r + -5r = 109 + 5r + -5r

Combine like terms: 18r + -5r = 13r
5 + 13r = 109 + 5r + -5r

Combine like terms: 5r + -5r = 0
5 + 13r = 109 + 0
5 + 13r = 109

Add '-5' to each side of the equation.
5 + -5 + 13r = 109 + -5

Combine like terms: 5 + -5 = 0
0 + 13r = 109 + -5
13r = 109 + -5

Combine like terms: 109 + -5 = 104
13r = 104

Divide each side by '13'.
r = 8

Simplifying
r = 8