r-.5(4r+2)=0

Solution for r-.5(4r+2)=0 equation:

Simplifying
r + -0.5(4r + 2) = 0

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

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

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

Solving
-1 + -1r = 0

Solving for variable 'r'.

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

Add '1' to each side of the equation.
-1 + 1 + -1r = 0 + 1

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

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

Divide each side by '-1'.
r = -1

Simplifying
r = -1