2(3q+2r)+3(3q-2r)=

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

Simplifying
2(3q + 2r) + 3(3q + -2r) = 0
(3q * 2 + 2r * 2) + 3(3q + -2r) = 0
(6q + 4r) + 3(3q + -2r) = 0
6q + 4r + (3q * 3 + -2r * 3) = 0
6q + 4r + (9q + -6r) = 0

Reorder the terms:
6q + 9q + 4r + -6r = 0

Combine like terms: 6q + 9q = 15q
15q + 4r + -6r = 0

Combine like terms: 4r + -6r = -2r
15q + -2r = 0

Solving
15q + -2r = 0

Solving for variable 'q'.

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

Add '2r' to each side of the equation.
15q + -2r + 2r = 0 + 2r

Combine like terms: -2r + 2r = 0
15q + 0 = 0 + 2r
15q = 0 + 2r
Remove the zero:
15q = 2r

Divide each side by '15'.
q = 0.1333333333r

Simplifying
q = 0.1333333333r