2r+6=9r-1

Solution for 2r+6=9r-1 equation:

Simplifying
2r + 6 = 9r + -1

Reorder the terms:
6 + 2r = 9r + -1

Reorder the terms:
6 + 2r = -1 + 9r

Solving
6 + 2r = -1 + 9r

Solving for variable 'r'.

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

Add '-9r' to each side of the equation.
6 + 2r + -9r = -1 + 9r + -9r

Combine like terms: 2r + -9r = -7r
6 + -7r = -1 + 9r + -9r

Combine like terms: 9r + -9r = 0
6 + -7r = -1 + 0
6 + -7r = -1

Add '-6' to each side of the equation.
6 + -6 + -7r = -1 + -6

Combine like terms: 6 + -6 = 0
0 + -7r = -1 + -6
-7r = -1 + -6

Combine like terms: -1 + -6 = -7
-7r = -7

Divide each side by '-7'.
r = 1

Simplifying
r = 1