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

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

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

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

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

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

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

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

Solving
3r = -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.
3r + 6r = -6r + 6r

Combine like terms: 3r + 6r = 9r
9r = -6r + 6r

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

Divide each side by '9'.
r = 0

Simplifying
r = 0