Solve the congruence $6n \equiv 7 \pmod{13}$, as a residue modulo 13.  (That is, find the value of $n$ that satisfies the congruence such that $0\le n \le 12$.)
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Solve the congruence $6n \equiv 7 \pmod{13}$, as a residue modulo 13.  (That is, find the value of $n$ that satisfies the congruence such that $0\le n \le 12$.)
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
12
Solve the congruence $6n \equiv 7 \pmod{13}$, as a residue modulo 13.  (That is, find the value of $n$ that satisfies the congruence such that $0\le n \le 12$.)
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