Let \( |z|=2 \) and \( w=\frac{z+1}{z-1} \), where \( z, w \in C \) then \( 2|w-1|-|w+1|+1 \) equals

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Let \( |z|=2 \) and \( w=\frac{z+1}{z-1} \), where \( z, w \in C \) then \( 2|w-1|-|w+1|+1 \) equals
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