The balanced equation for the reaction of manganese bromide (MnBr₂) and sodium hydroxide (NaOH) is:

MnBr₂(aq) + 2NaOH(aq) → Mn(OH)₂(s) + 2NaBr(aq)

Here's what happens:

* Reactants:

* Manganese bromide (MnBr₂) is a soluble ionic compound.

* Sodium hydroxide (NaOH) is also a soluble ionic compound.

* Products:

* Manganese(II) hydroxide (Mn(OH)₂) is an insoluble solid, which precipitates out of solution.

* Sodium bromide (NaBr) remains dissolved in solution.

Explanation of Balancing:

* Mn: One Mn atom on each side.

* Br: Two Br atoms on each side.

* Na: Two Na atoms on each side.

* O: Two O atoms on each side.

* H: Two H atoms on each side.

This reaction is a classic example of a double displacement reaction, where the positive and negative ions of the reactants switch places. The formation of the insoluble manganese(II) hydroxide drives the reaction forward.