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

Solution for 6(r+1)-2r=-2+2(4r-1) equation:

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

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

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

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

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

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

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

Combine like terms: 8r + -8r = 0
6 + -4r = -4 + 0
6 + -4r = -4

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

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

Combine like terms: -4 + -6 = -10
-4r = -10

Divide each side by '-4'.
r = 2.5

Simplifying
r = 2.5