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Choose the main technique to prove the following statement.
If 5n^2+6n+7 is odd, then n is even.
T3: indirect proof by contradiction to show p \equiv T
T2: indirect proof by contraposition to show p \to q \equiv T
T1: direct proof to show p \to q \equiv T
T4: two-step proof to show p \leftrightarrow q \equiv T
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