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

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

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

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

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

Add '6' to each side of the equation.
-6 + 6 + 9r = -6 + 6 + -6r

Combine like terms: -6 + 6 = 0
0 + 9r = -6 + 6 + -6r
9r = -6 + 6 + -6r

Combine like terms: -6 + 6 = 0
9r = 0 + -6r
9r = -6r

Solving
9r = -6r

Solving for variable 'r'.

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

Add '6r' to each side of the equation.
9r + 6r = -6r + 6r

Combine like terms: 9r + 6r = 15r
15r = -6r + 6r

Combine like terms: -6r + 6r = 0
15r = 0

Divide each side by '15'.
r = 0

Simplifying
r = 0