Solution:

If the question says solid, we need to write (s) next to the compound, liquid means (l), gaseous means (g) and aqueous means (aq).
Solid sodium means Na(s). Liquid water is H2O(l). Gaseous hydrogen is H2(g). Hydrogen is a diatomic gas and that is why it has a subscript of 2. You can memorize all the diatomic gases with BrINCl HOF mnemonic. Aqueous Sodium Hydroxide is NaOH(aq).

The equation is: Na(s) + H2O(l) —> H2(g) + NaOH(aq)
Now lets balance it : 2Na(s) + 2H2O(l) —> H2(g) + 2NaOH(aq)

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