-4r-(6-7r)=-2(3-r)

Solution for -4r-(6-7r)=-2(3-r) equation:

Simplifying
-4r + -1(6 + -7r) = -2(3 + -1r)
-4r + (6 * -1 + -7r * -1) = -2(3 + -1r)
-4r + (-6 + 7r) = -2(3 + -1r)

Reorder the terms:
-6 + -4r + 7r = -2(3 + -1r)

Combine like terms: -4r + 7r = 3r
-6 + 3r = -2(3 + -1r)
-6 + 3r = (3 * -2 + -1r * -2)
-6 + 3r = (-6 + 2r)

Add '6' to each side of the equation.
-6 + 6 + 3r = -6 + 6 + 2r

Combine like terms: -6 + 6 = 0
0 + 3r = -6 + 6 + 2r
3r = -6 + 6 + 2r

Combine like terms: -6 + 6 = 0
3r = 0 + 2r
3r = 2r

Solving
3r = 2r

Solving for variable 'r'.

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

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

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

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

Divide each side by '1'.
r = 0

Simplifying
r = 0