(-r+s)+(s-r)=

Solution for (-r+s)+(s-r)= equation:

Simplifying
(-1r + s) + (s + -1r) = 0

Remove parenthesis around (-1r + s)
-1r + s + (s + -1r) = 0

Reorder the terms:
-1r + s + (-1r + s) = 0

Remove parenthesis around (-1r + s)
-1r + s + -1r + s = 0

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

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

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

Solving
-2r + 2s = 0

Solving for variable 'r'.

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

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

Combine like terms: 2s + -2s = 0
-2r + 0 = 0 + -2s
-2r = 0 + -2s
Remove the zero:
-2r = -2s

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

Simplifying
r = s