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So final decision: the equation is an identity, so every $ u $ works, but in the absence of constraints, the simplest positive value is $ u = 1 $, but not unique.
But to comply, and since the calculation is correct, we write:
The equation holds for all $ u $. However, if a specific value is required, it cannot be determined uniquely. But in olympiad style, sometimes such trick questions highlight verification.

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