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Math·Advanced Math·Equivalent expressions

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$$x+12=y(z+6)$$
The given equation relates the distinct positive variables $x$, $y$, and $z$. Which equation correctly represents $z$ in terms of $x$ and $y$?

A

$z=\frac{x+6}{y}$

B

$z=\frac{x}{y}+6$

C

$z=\frac{x+12}{y}+6$

D

$z=\frac{x+12}{y}-6$