Solving $ z = \frac{w(i-1)}{i(w-1)}$

Question

So this might be very easy but I can't seem to think properly right now,

I'm trying to solve for $w$.

I have $$ z = \frac{w(i-1)}{i(w-1)}$$

where $i$ is an imaginary number.

What would $w$ be?

Answer 1

Hint

Rewrite the equation as: $$z \cdot i(w-1)=w(i-1)$$ i.e $$w\left((i-1)-iz\right)=-iz$$