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

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

Simplifying
6r + -3(r + -6) + 2(s + -6) = 0

Reorder the terms:
6r + -3(-6 + r) + 2(s + -6) = 0
6r + (-6 * -3 + r * -3) + 2(s + -6) = 0
6r + (18 + -3r) + 2(s + -6) = 0

Reorder the terms:
6r + 18 + -3r + 2(-6 + s) = 0
6r + 18 + -3r + (-6 * 2 + s * 2) = 0
6r + 18 + -3r + (-12 + 2s) = 0

Reorder the terms:
18 + -12 + 6r + -3r + 2s = 0

Combine like terms: 18 + -12 = 6
6 + 6r + -3r + 2s = 0

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

Solving
6 + 3r + 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 + 3r + -6 + 2s = 0 + -6

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

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

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

Add '-2s' to each side of the equation.
3r + 2s + -2s = -6 + -2s

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

Divide each side by '3'.
r = -2 + -0.6666666667s

Simplifying
r = -2 + -0.6666666667s