Blast furnaces extract pure iron from the iron(III) oxide in iron ore in a two step sequence.

In the first step, carbon and oxygen react to form carbon monoxide: 2C (s) + O ₂ (g) → 2CO (g)

In the second step, iron(III) oxide and carbon monoxide react to form iron and carbon dioxide: Fe ₂ O ₃ (s) + 3CO (g) → 2Fe (s) + 3CO ₂ (g)

Write the net chemical equation for the production of iron from carbon, oxygen and iron(III) oxide.