Let \(z\) be a complex number such that \(Re(z)=3\) and \(Im(z)\neq 0\).
If
\[
\frac{3z-n}{z+n}=\frac{5-i}{2}
\]
for a real number \(n\), then \(n-Im(z)=
\)
Show Hint
Whenever two complex numbers are equal, their real parts and imaginary parts must be equal separately.