2r+6=22r+11

Solution for 2r+6=22r+11 equation:

Simplifying
2r + 6 = 22r + 11

Reorder the terms:
6 + 2r = 22r + 11

Reorder the terms:
6 + 2r = 11 + 22r

Solving
6 + 2r = 11 + 22r

Solving for variable 'r'.

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

Add '-22r' to each side of the equation.
6 + 2r + -22r = 11 + 22r + -22r

Combine like terms: 2r + -22r = -20r
6 + -20r = 11 + 22r + -22r

Combine like terms: 22r + -22r = 0
6 + -20r = 11 + 0
6 + -20r = 11

Add '-6' to each side of the equation.
6 + -6 + -20r = 11 + -6

Combine like terms: 6 + -6 = 0
0 + -20r = 11 + -6
-20r = 11 + -6

Combine like terms: 11 + -6 = 5
-20r = 5

Divide each side by '-20'.
r = -0.25

Simplifying
r = -0.25