-2r+2=-1(3r+3)+3

Solution for -2r+2=-1(3r+3)+3 equation:

Simplifying
-2r + 2 = -1(3r + 3) + 3

Reorder the terms:
2 + -2r = -1(3r + 3) + 3

Reorder the terms:
2 + -2r = -1(3 + 3r) + 3
2 + -2r = (3 * -1 + 3r * -1) + 3
2 + -2r = (-3 + -3r) + 3

Reorder the terms:
2 + -2r = -3 + 3 + -3r

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

Solving
2 + -2r = -3r

Solving for variable 'r'.

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

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

Combine like terms: -2r + 3r = 1r
2 + 1r = -3r + 3r

Combine like terms: -3r + 3r = 0
2 + 1r = 0

Add '-2' to each side of the equation.
2 + -2 + 1r = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 1r = 0 + -2
1r = 0 + -2

Combine like terms: 0 + -2 = -2
1r = -2

Divide each side by '1'.
r = -2

Simplifying
r = -2