In this circuit the first there is no negative feedback in the first OpAmp, then we cannot assume that "Vp = Vn" (this is valid only when there is negative Feedback).
But there is negative feedback in the second OpAmp.
We can write the KCL equation for Vn1 and the equation for the output of OpAmp 1 based in the general equation "A(Vp - Vn)".
The output of OpAmp 1 is applied in the second OpAmp, an inverting configuration. Based in this is possible to write the output equation to this second OpAmp.
Now it's possible to write the KCL for the node Vp1. Even without the negative feedback, the voltage at both inputs in OpAmp 1 is equal, that is, it's not saturating.
With Vp1 it's possible to calculate the currents and to know the voltage of OpAmp 1.
Circuit explanation by professor L.R. Linares: https://www.youtube.com/watch?v=dkTjbcSEHmc
