.5(4r+6)-(r+2)=

Solution for .5(4r+6)-(r+2)= equation:

Simplifying
0.5(4r + 6) + -1(r + 2) = 0

Reorder the terms:
0.5(6 + 4r) + -1(r + 2) = 0
(6 * 0.5 + 4r * 0.5) + -1(r + 2) = 0
(3 + 2r) + -1(r + 2) = 0

Reorder the terms:
3 + 2r + -1(2 + r) = 0
3 + 2r + (2 * -1 + r * -1) = 0
3 + 2r + (-2 + -1r) = 0

Reorder the terms:
3 + -2 + 2r + -1r = 0

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

Combine like terms: 2r + -1r = 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