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両辺に共役を取っているのです。
イメージ付かなければ
w＝a＋bi,z＝x＋yi(a,b,x,yは実数)とおくと
a＋bi＝i(x -yi)＝y＋xi
よってa＝y,b＝x
a -bi＝y -xi＝ -i(x＋yi)＝ -iz
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なるほど！理解できました。ありがとうございます