6+4r=2(r-4)

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

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

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

Solving
6 + 4r = -8 + 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.
6 + 4r + -2r = -8 + 2r + -2r

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

Combine like terms: 2r + -2r = 0
6 + 2r = -8 + 0
6 + 2r = -8

Add '-6' to each side of the equation.
6 + -6 + 2r = -8 + -6

Combine like terms: 6 + -6 = 0
0 + 2r = -8 + -6
2r = -8 + -6

Combine like terms: -8 + -6 = -14
2r = -14

Divide each side by '2'.
r = -7

Simplifying
r = -7