Here's how to write the balanced equation for the reaction of ammonium hydroxide (NH₄OH) with hydrobromic acid (HBr):

1. Write the unbalanced equation:

NH₄OH (aq) + HBr (aq) → ?

2. Identify the products:

This is a classic acid-base neutralization reaction. The products will be a salt (ammonium bromide) and water:

NH₄OH (aq) + HBr (aq) → NH₄Br (aq) + H₂O (l)

3. Balance the equation:

The equation is already balanced. There is one nitrogen, one bromine, five hydrogens, and one oxygen on each side.

The balanced chemical equation is:

NH₄OH (aq) + HBr (aq) → NH₄Br (aq) + H₂O (l)