The balanced molecular reaction is just made of the species as they appear in the chemical equation, with coefficient on the front so we can have the same number of atoms for each elements at the left and the right of the arrow:
2NaOH(aq) + MgCl₂(aq) → Mg(OH)₂(s) + 2NaCl(aq)
The total ionic equation is made by dissociating the ions of the aqueous species:
2Na⁺ + 2OH⁻ + Mg²⁺ + 2Cl⁻ → Mg(OH)₂(s) + 2Na⁺ + 2Cl⁻
The net ionic equation is made by cancelling out the ions that are found at the right and the left of the arrow:
Mg²⁺ + 2OH⁻ → Mg(OH)₂(s)
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