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Let f: R -> R such that f(x)={2x+k^2 ...

Let `f: R -> R` such that `f(x)={2x+k^2 for x leq 3 and kx +10 for x lt 3` If `f` is surjective, then the sum of all possible integral values of `k` in the interval `[-50, 50]` is equal to

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