us+ur=k

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Solution for us+ur=k equation: 


Simplifying
us + ur = k

Reorder the terms:
ru + su = k

Solving
ru + su = k

Solving for variable 'r'.

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

Add '-1su' to each side of the equation.
ru + su + -1su = k + -1su

Combine like terms: su + -1su = 0
ru + 0 = k + -1su
ru = k + -1su

Divide each side by 'u'.
r = ku-1 + -1s

Simplifying
r = ku-1 + -1s

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