Dieterici's equation of state

[mprovod]

I'm supposed to show how to rewrite Dieterici's equation of state: P(V − b) = RTe^−a/RTV in reduced units: p(2v − 1) = t*exp(2*(1 − 1/tv)), where p=P/Pc, v=V/Vc and t=T/Tc and (Pc, Tc, Vc) is the critical point. I should further show that the equation of the inversion curve is p = (8 - t)exp((5/2) - (4/t)). I'd be greateful if someone could show me especially the first part. I'm not sure how to approach this. Thanks.