If \( \left|\begin{array}{ccc}4 & -4 & 0 \\ a & b+4 &am...

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If \( \left|\begin{array}{ccc}4 & -4 & 0 \\ a & b+4 & c \\ a & b & c+4\end{array}\right|=0 \), then \( a+b+c \) is equal to
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