Chọn phương án D.

\(\begin{aligned}
(1+z)(1+\mathrm{i})-5+\mathrm{i}&=0\\
\Rightarrow z&=\dfrac{5-\mathrm{i}}{1+\mathrm{i}}-1\\
&=1-3\mathrm{i}.
\end{aligned}\)

Suy ra \(w=1+(1-3\mathrm{i})=2-3\mathrm{i}\).