-3(2r-2)-3r=-7-(3-7r)

Solution for -3(2r-2)-3r=-7-(3-7r) equation:

Simplifying
-3(2r + -2) + -3r = -7 + -1(3 + -7r)

Reorder the terms:
-3(-2 + 2r) + -3r = -7 + -1(3 + -7r)
(-2 * -3 + 2r * -3) + -3r = -7 + -1(3 + -7r)
(6 + -6r) + -3r = -7 + -1(3 + -7r)

Combine like terms: -6r + -3r = -9r
6 + -9r = -7 + -1(3 + -7r)
6 + -9r = -7 + (3 * -1 + -7r * -1)
6 + -9r = -7 + (-3 + 7r)

Combine like terms: -7 + -3 = -10
6 + -9r = -10 + 7r

Solving
6 + -9r = -10 + 7r

Solving for variable 'r'.

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

Add '-7r' to each side of the equation.
6 + -9r + -7r = -10 + 7r + -7r

Combine like terms: -9r + -7r = -16r
6 + -16r = -10 + 7r + -7r

Combine like terms: 7r + -7r = 0
6 + -16r = -10 + 0
6 + -16r = -10

Add '-6' to each side of the equation.
6 + -6 + -16r = -10 + -6

Combine like terms: 6 + -6 = 0
0 + -16r = -10 + -6
-16r = -10 + -6

Combine like terms: -10 + -6 = -16
-16r = -16

Divide each side by '-16'.
r = 1

Simplifying
r = 1