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

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

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

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

Reorder the terms:
6 = 8 + 2 + 4r + -8r

Combine like terms: 8 + 2 = 10
6 = 10 + 4r + -8r

Combine like terms: 4r + -8r = -4r
6 = 10 + -4r

Solving
6 = 10 + -4r

Solving for variable 'r'.

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

Add '4r' to each side of the equation.
6 + 4r = 10 + -4r + 4r

Combine like terms: -4r + 4r = 0
6 + 4r = 10 + 0
6 + 4r = 10

Add '-6' to each side of the equation.
6 + -6 + 4r = 10 + -6

Combine like terms: 6 + -6 = 0
0 + 4r = 10 + -6
4r = 10 + -6

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

Divide each side by '4'.
r = 1

Simplifying
r = 1