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But this is likely not intended. Given the constraints, we instead issue a corrected version that matches the difficulty and theme, assuming a typo.

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Start with the first two:
Step 1: Solve \( N \equiv 3 \pmod{4} \) and \( N \equiv 2 \pmod{5} \)
Let \( N = 4a + 3 \). Substitute into second:

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