What is the largest three-digit integer $n$ that satisfies $$55n\equiv 165\pmod{260}~?$$
Question:
What is the largest three-digit integer $n$ that satisfies $$55n\equiv 165\pmod{260}~?$$
Answer:
Let's think step by step.

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What is the largest three-digit integer $n$ that satisfies $$55n\equiv 165\pmod{260}~?$$
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