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$\begin{cases} \log _{ 2}{ x}+\log _{ 4}{ y }+\log _{ 4}{ z }=2 \\ \log _{ 3}{ y }+\log _{ 9}{z }+\log _{ 9}{ x }=2 \\ \log _{ 4}{ z }+\log _{ 16}{ x }+\log _{ 16}{ y }=2 \end{cases}$

$3x+8y+3z=?$

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