6r+1=18r-2r

Solution for 6r+1=18r-2r equation:

Simplifying
6r + 1 = 18r + -2r

Reorder the terms:
1 + 6r = 18r + -2r

Combine like terms: 18r + -2r = 16r
1 + 6r = 16r

Solving
1 + 6r = 16r

Solving for variable 'r'.

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

Add '-16r' to each side of the equation.
1 + 6r + -16r = 16r + -16r

Combine like terms: 6r + -16r = -10r
1 + -10r = 16r + -16r

Combine like terms: 16r + -16r = 0
1 + -10r = 0

Add '-1' to each side of the equation.
1 + -1 + -10r = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -10r = 0 + -1
-10r = 0 + -1

Combine like terms: 0 + -1 = -1
-10r = -1

Divide each side by '-10'.
r = 0.1

Simplifying
r = 0.1