Dear Omer,
Do not provide the concealed beam of 9"x9". It will worses the situation. In my opinion 19'x18' is not too big span.
If this is a frame structure then you can remove this beam and apply the loading directly on slab as this slab will be having the loading of walls, SDL and any other Live Load. You can increase thickness to 7 inch or or 7.5 inch. In shal ALLAH it will solve your problem. Because 7 or 7.5 inch slab has sufficient resistance to deflection but you can check it in SAFE.
If this is a multistory housing (brick masonry) structure, then also use this slab only for the loading of one floor. Try to locate the load bearing points on the upper floor. Apply the loading on the slab and design it as mentioned in above comment.
But if you want to provide concealed beam then go for 24"x10.5". In usual construction, the total slab thickness (including concrete slab+ floor finishing ) is 12". So with the mutual understanding with architect you can provide 24" wide beam with 10.5" depth. This will not solve your 100% deflection but it can help. I have provided this kind of beams in too many brick masonry structures.
Thanks
Muneen