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Math·Advanced Math·Nonlinear equations in one variable and systems of equations in two variables

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$$f(x)=|71-2x|$$
The function $f$ is defined by the given equation. For which of the following values of $k$ does $f(k)=3k$?

A

$\frac{71}{5}$

B

$\frac{71}{2}$

C

$\frac{213}{5}$

D

$71$