Here's how to write the balanced equation for the reaction of sodium bromide (NaBr) and chlorine (Cl₂) to produce sodium chloride (NaCl) and bromine (Br₂):

1. Write the unbalanced equation:

NaBr + Cl₂ → NaCl + Br₂

2. Balance the equation:

* Sodium (Na): There is one Na atom on each side, so it's balanced.

* Bromine (Br): There is one Br atom on the left and two on the right. Add a coefficient of 2 in front of NaBr.

* Chlorine (Cl): There are two Cl atoms on the left and one on the right. Add a coefficient of 2 in front of NaCl.

The balanced equation is:

2 NaBr + Cl₂ → 2 NaCl + Br₂