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

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The equation $5|x-8|=k$, where $k$ is a constant, has exactly one solution. Which of the following could be the value of $\frac{k}{5}$?

A

$-8$ or $8$

B

$-8$ only

C

$0$ only

D

$8$ only