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

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

Simplifying
3(r + s) + 2(3r + 2s) = 0
(r * 3 + s * 3) + 2(3r + 2s) = 0
(3r + 3s) + 2(3r + 2s) = 0
3r + 3s + (3r * 2 + 2s * 2) = 0
3r + 3s + (6r + 4s) = 0

Reorder the terms:
3r + 6r + 3s + 4s = 0

Combine like terms: 3r + 6r = 9r
9r + 3s + 4s = 0

Combine like terms: 3s + 4s = 7s
9r + 7s = 0

Solving
9r + 7s = 0

Solving for variable 'r'.

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

Add '-7s' to each side of the equation.
9r + 7s + -7s = 0 + -7s

Combine like terms: 7s + -7s = 0
9r + 0 = 0 + -7s
9r = 0 + -7s
Remove the zero:
9r = -7s

Divide each side by '9'.
r = -0.7777777778s

Simplifying
r = -0.7777777778s