Suppose \(f: \mathbb{C} \to \mathbb{C}\) is a holomorphic function. Furthermore, assume \[|f(z)| \le 2016|z|\] for all \(z\in \mathbb{C}\).

If \(f(2016) = 6048 + 8064i\), what is \(f(3 - 4i)\)?

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**Note:** \(i = \sqrt{-1}\)

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