The balanced equation for the decomposition of hydrogen peroxide (H₂O₂) into water (H₂O) and oxygen gas (O₂) is:

2 H₂O₂ → 2 H₂O + O₂

Here's what the equation shows:

* 2 H₂O₂: Two molecules of hydrogen peroxide react.

* 2 H₂O: Two molecules of water are produced.

* O₂: One molecule of oxygen gas is produced.

This equation is balanced because there are equal numbers of each type of atom on both sides of the equation:

* Hydrogen (H): 4 on each side

* Oxygen (O): 4 on each side