Balance the equation
`Mg+ HNO_(3) to Mg(NO_(3))_(2) + N_(2)O + H_(2)O`

Explanation

To balance the equation \( \text{Mg} + \text{HNO}_3 \rightarrow \text{Mg(NO}_3)_2 + \text{N}_2\text{O} + \text{H}_2\text{O} \), we will follow these steps:

### Step 1: Determine Oxidation States
- **Magnesium (Mg)**: The oxidation state is \( 0 \) (elemental form).
- **Nitrogen in HNO3**:
- Let the oxidation state of nitrogen be \( x \).
- The equation for HNO3: \( 1 + x + 3(-2) = 0 \).
- Solving gives \( x = +5 \).
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