You're asking for the balanced equation for the reaction between silver bromide (AgBr) and ammonium sulfate ((NH₄)₂SO₄).

However, there is no reaction that occurs between these two compounds in an aqueous solution. Here's why:

* Solubility: Silver bromide (AgBr) is very insoluble in water. Ammonium sulfate ((NH₄)₂SO₄) is soluble in water.

* No Driving Force: There's no driving force for a reaction to occur. No precipitate will form, no gas will be produced, and no significant change in pH will happen.

Therefore, the "balanced equation" is simply:

AgBr (s) + (NH₄)₂SO₄ (aq) → No Reaction

Let me know if you'd like to explore the reactions of silver bromide with other reagents.