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Math·Advanced Math·Equivalent expressions

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$x+13=y(z+8)$

The given equation relates the distinct positive variables $x$, $y$, and $z$. Which equation correctly represents $z$ in terms of $x$ and $y$?

A

$z=\frac{x+13}{y}-8$

B

$z=\frac{x+13}{y}+8$

C

$z=\frac{x+13-8}{y}$

D

$z=\frac{x+13+8}{y}$