.5(2r+4)-.25(16-8r)=

Solution for .5(2r+4)-.25(16-8r)= equation:

Simplifying
0.5(2r + 4) + -0.25(16 + -8r) = 0

Reorder the terms:
0.5(4 + 2r) + -0.25(16 + -8r) = 0
(4 * 0.5 + 2r * 0.5) + -0.25(16 + -8r) = 0
(2 + 1r) + -0.25(16 + -8r) = 0
2 + 1r + (16 * -0.25 + -8r * -0.25) = 0
2 + 1r + (-4 + 2r) = 0

Reorder the terms:
2 + -4 + 1r + 2r = 0

Combine like terms: 2 + -4 = -2
-2 + 1r + 2r = 0

Combine like terms: 1r + 2r = 3r
-2 + 3r = 0

Solving
-2 + 3r = 0

Solving for variable 'r'.

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

Add '2' to each side of the equation.
-2 + 2 + 3r = 0 + 2

Combine like terms: -2 + 2 = 0
0 + 3r = 0 + 2
3r = 0 + 2

Combine like terms: 0 + 2 = 2
3r = 2

Divide each side by '3'.
r = 0.6666666667

Simplifying
r = 0.6666666667