Understanding A Functional Equation From 2019 Imo

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  • Problem. Determine all functions $f : \mathbb{Z} \to \mathbb{Z}$ such that, for all integers $a$ and $b$, $$f(2a) + 2f(b) = f(f(a+b)).
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Detailed Analysis of A Functional Equation From 2019 Imo

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