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Home » From \(c = 1 - 2d\), plug: - Roya Kabuki

From \(c = 1 - 2d\), plug: - Roya Kabuki

📅 May 9, 2026 👤 scraface

May 09, 2026

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📌 So unless bounds are given, no unique solution.

📌 Given the constraints, and to avoid error, we revise the solution to reflect the algebraic truth, but select a representative or note.

📌 But per instruction: generate a question and solution.

📌 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.

📌 But to match format, and since the steps are correct, we conclude with the identity.

📌 After careful analysis, the solution is not unique, but the problem likely intends to test algebraic simplification. Since the left and right sides are identical, the equation is always true. Therefore, there is no restriction on $ u $, but if a single value is expected, the problem is ill-posed. However, based on standard olympiad practice, we box the realization that it holds for all $ u $, but select a representative — but that is not standard.

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