5r+6=20r+9

Solution for 5r+6=20r+9 equation:

Simplifying
5r + 6 = 20r + 9

Reorder the terms:
6 + 5r = 20r + 9

Reorder the terms:
6 + 5r = 9 + 20r

Solving
6 + 5r = 9 + 20r

Solving for variable 'r'.

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

Add '-20r' to each side of the equation.
6 + 5r + -20r = 9 + 20r + -20r

Combine like terms: 5r + -20r = -15r
6 + -15r = 9 + 20r + -20r

Combine like terms: 20r + -20r = 0
6 + -15r = 9 + 0
6 + -15r = 9

Add '-6' to each side of the equation.
6 + -6 + -15r = 9 + -6

Combine like terms: 6 + -6 = 0
0 + -15r = 9 + -6
-15r = 9 + -6

Combine like terms: 9 + -6 = 3
-15r = 3

Divide each side by '-15'.
r = -0.2

Simplifying
r = -0.2