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

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

Simplifying
6 + -3r = -4(2r + -4)

Reorder the terms:
6 + -3r = -4(-4 + 2r)
6 + -3r = (-4 * -4 + 2r * -4)
6 + -3r = (16 + -8r)

Solving
6 + -3r = 16 + -8r

Solving for variable 'r'.

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

Add '8r' to each side of the equation.
6 + -3r + 8r = 16 + -8r + 8r

Combine like terms: -3r + 8r = 5r
6 + 5r = 16 + -8r + 8r

Combine like terms: -8r + 8r = 0
6 + 5r = 16 + 0
6 + 5r = 16

Add '-6' to each side of the equation.
6 + -6 + 5r = 16 + -6

Combine like terms: 6 + -6 = 0
0 + 5r = 16 + -6
5r = 16 + -6

Combine like terms: 16 + -6 = 10
5r = 10

Divide each side by '5'.
r = 2

Simplifying
r = 2