2r+2s-r+3r+6=

Solution for 2r+2s-r+3r+6= equation:

Simplifying
2r + 2s + -1r + 3r + 6 = 0

Reorder the terms:
6 + 2r + -1r + 3r + 2s = 0

Combine like terms: 2r + -1r = 1r
6 + 1r + 3r + 2s = 0

Combine like terms: 1r + 3r = 4r
6 + 4r + 2s = 0

Solving
6 + 4r + 2s = 0

Solving for variable 'r'.

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

Add '-6' to each side of the equation.
6 + 4r + -6 + 2s = 0 + -6

Reorder the terms:
6 + -6 + 4r + 2s = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 4r + 2s = 0 + -6
4r + 2s = 0 + -6

Combine like terms: 0 + -6 = -6
4r + 2s = -6

Add '-2s' to each side of the equation.
4r + 2s + -2s = -6 + -2s

Combine like terms: 2s + -2s = 0
4r + 0 = -6 + -2s
4r = -6 + -2s

Divide each side by '4'.
r = -1.5 + -0.5s

Simplifying
r = -1.5 + -0.5s