6r-2(2-r)=6(2r-1)

Solution for 6r-2(2-r)=6(2r-1) equation:

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

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

Combine like terms: 6r + 2r = 8r
-4 + 8r = 6(2r + -1)

Reorder the terms:
-4 + 8r = 6(-1 + 2r)
-4 + 8r = (-1 * 6 + 2r * 6)
-4 + 8r = (-6 + 12r)

Solving
-4 + 8r = -6 + 12r

Solving for variable 'r'.

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

Add '-12r' to each side of the equation.
-4 + 8r + -12r = -6 + 12r + -12r

Combine like terms: 8r + -12r = -4r
-4 + -4r = -6 + 12r + -12r

Combine like terms: 12r + -12r = 0
-4 + -4r = -6 + 0
-4 + -4r = -6

Add '4' to each side of the equation.
-4 + 4 + -4r = -6 + 4

Combine like terms: -4 + 4 = 0
0 + -4r = -6 + 4
-4r = -6 + 4

Combine like terms: -6 + 4 = -2
-4r = -2

Divide each side by '-4'.
r = 0.5

Simplifying
r = 0.5