6+2r-4=9r+3-6r

Solution for 6+2r-4=9r+3-6r equation:

Simplifying
6 + 2r + -4 = 9r + 3 + -6r

Reorder the terms:
6 + -4 + 2r = 9r + 3 + -6r

Combine like terms: 6 + -4 = 2
2 + 2r = 9r + 3 + -6r

Reorder the terms:
2 + 2r = 3 + 9r + -6r

Combine like terms: 9r + -6r = 3r
2 + 2r = 3 + 3r

Solving
2 + 2r = 3 + 3r

Solving for variable 'r'.

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

Add '-3r' to each side of the equation.
2 + 2r + -3r = 3 + 3r + -3r

Combine like terms: 2r + -3r = -1r
2 + -1r = 3 + 3r + -3r

Combine like terms: 3r + -3r = 0
2 + -1r = 3 + 0
2 + -1r = 3

Add '-2' to each side of the equation.
2 + -2 + -1r = 3 + -2

Combine like terms: 2 + -2 = 0
0 + -1r = 3 + -2
-1r = 3 + -2

Combine like terms: 3 + -2 = 1
-1r = 1

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

Simplifying
r = -1