6+2r-1=7r+32-2r

Solution for 6+2r-1=7r+32-2r equation:

Simplifying
6 + 2r + -1 = 7r + 32 + -2r

Reorder the terms:
6 + -1 + 2r = 7r + 32 + -2r

Combine like terms: 6 + -1 = 5
5 + 2r = 7r + 32 + -2r

Reorder the terms:
5 + 2r = 32 + 7r + -2r

Combine like terms: 7r + -2r = 5r
5 + 2r = 32 + 5r

Solving
5 + 2r = 32 + 5r

Solving for variable 'r'.

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

Add '-5r' to each side of the equation.
5 + 2r + -5r = 32 + 5r + -5r

Combine like terms: 2r + -5r = -3r
5 + -3r = 32 + 5r + -5r

Combine like terms: 5r + -5r = 0
5 + -3r = 32 + 0
5 + -3r = 32

Add '-5' to each side of the equation.
5 + -5 + -3r = 32 + -5

Combine like terms: 5 + -5 = 0
0 + -3r = 32 + -5
-3r = 32 + -5

Combine like terms: 32 + -5 = 27
-3r = 27

Divide each side by '-3'.
r = -9

Simplifying
r = -9