Aww. I find al the equations simple to rememberHaha too many equations, know all except solvay process.
1. brine purification
Ca2+ + CO3 2- --> CaCO3 (s)
2. NaHCO3 formation (all balances)
NaCl (brine duh!) + CO2 + NH3 + H2O --> NaHCO3 + NH4Cl
3. Na2CO3 formation (burn the nahco3)
2NaHCO3 --> Na2CO3 + H2O + CO2
4. Ammonia recovery
I Cbs to right out the equation for this cause I'm on my phone haha but.. add the CaO from burning CaCO3 to water to form Ca(OH)2
Then react Ca(OH)2 to NH4Cl (formed in step 2) and it'll form ammonia, calcium chloride and water
Pretty straight forward
Goodluck!