9r+6=51r+13

Solution for 9r+6=51r+13 equation:

Simplifying
9r + 6 = 51r + 13

Reorder the terms:
6 + 9r = 51r + 13

Reorder the terms:
6 + 9r = 13 + 51r

Solving
6 + 9r = 13 + 51r

Solving for variable 'r'.

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

Add '-51r' to each side of the equation.
6 + 9r + -51r = 13 + 51r + -51r

Combine like terms: 9r + -51r = -42r
6 + -42r = 13 + 51r + -51r

Combine like terms: 51r + -51r = 0
6 + -42r = 13 + 0
6 + -42r = 13

Add '-6' to each side of the equation.
6 + -6 + -42r = 13 + -6

Combine like terms: 6 + -6 = 0
0 + -42r = 13 + -6
-42r = 13 + -6

Combine like terms: 13 + -6 = 7
-42r = 7

Divide each side by '-42'.
r = -0.1666666667

Simplifying
r = -0.1666666667