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If a function f: [-2a, 2a] -> R is an od...

If a function `f: [-2a, 2a] -> R` is an odd function such that, `f(x) = f(2a - x)` for `x in [a, 2a]` and the left-hand derivative at `x = a` is `0`, then find the left-hand derivative at `x = -a`.

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