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$$f(x)=|59-2x|$$

The function $f$ is defined by the given equation. For which of the following values of $k$ does $f(k)=3k$?
Difficulty: Hard
A:

$\frac{59}{5}$

B:

$\frac{59}{2}$

C:

$\frac{177}{5}$

D:

$59$

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