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

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

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

Reorder the terms:
-2(-2 + 3r) + 2 = -3(7r + -2)
(-2 * -2 + 3r * -2) + 2 = -3(7r + -2)
(4 + -6r) + 2 = -3(7r + -2)

Reorder the terms:
4 + 2 + -6r = -3(7r + -2)

Combine like terms: 4 + 2 = 6
6 + -6r = -3(7r + -2)

Reorder the terms:
6 + -6r = -3(-2 + 7r)
6 + -6r = (-2 * -3 + 7r * -3)
6 + -6r = (6 + -21r)

Add '-6' to each side of the equation.
6 + -6 + -6r = 6 + -6 + -21r

Combine like terms: 6 + -6 = 0
0 + -6r = 6 + -6 + -21r
-6r = 6 + -6 + -21r

Combine like terms: 6 + -6 = 0
-6r = 0 + -21r
-6r = -21r

Solving
-6r = -21r

Solving for variable 'r'.

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

Add '21r' to each side of the equation.
-6r + 21r = -21r + 21r

Combine like terms: -6r + 21r = 15r
15r = -21r + 21r

Combine like terms: -21r + 21r = 0
15r = 0

Divide each side by '15'.
r = 0

Simplifying
r = 0