Solve for $z$ : $(i - z) (1 + i) = 2 i$ .

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Solution

Given,
$(i - z) (1 + i) = 2 i$
or, $i - z = \frac{2 i}{1 + i}$
or, $i - z = (1 + i)$ [ Since $(1 + i)^{2} = 2 i$ ]
or, $z = - i$ .

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