(r-s)-(s-t)-(t-r)=

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

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

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

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

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

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

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

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