6-(3-r)=3r+2

Solution for 6-(3-r)=3r+2 equation:

Simplifying
6 + -1(3 + -1r) = 3r + 2
6 + (3 * -1 + -1r * -1) = 3r + 2
6 + (-3 + 1r) = 3r + 2

Combine like terms: 6 + -3 = 3
3 + 1r = 3r + 2

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

Solving
3 + 1r = 2 + 3r

Solving for variable 'r'.

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

Add '-3r' to each side of the equation.
3 + 1r + -3r = 2 + 3r + -3r

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

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

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

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

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

Divide each side by '-2'.
r = 0.5

Simplifying
r = 0.5