I am not sure if I am thick in the head or not, but I am trying to replicate this paper: https://www.nber.org/papers/w19086.pdf. The equations characterising the equilibrium are given on Page $22$.
Unfortunately it seems as though there are 7 unknowns but only 6 equations (well I am trying to calculate the steady state, so for any time varying variable $X$ which is time varying $X_{t+1} = X_t = X$ and thats how it becomes only 7 unknowns.)
The unknowns are: $\widetilde{K},\ \widetilde{Q},\ \widetilde{C},\ \widetilde{Y},\tau_k,\tau_l \ and \ L$
I am omitting the time subscripts because I am trying to solve for the steady state, so again, variables are constant through time.
I tried going through the paper again and how we got to the equations but to no avail. I may be missing something super basic here but any help would be great!