How many integers $n$ satisfy $0<n<60$ and $4n\equiv 2\pmod 6?$
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
How many integers $n$ satisfy $0<n<60$ and $4n\equiv 2\pmod 6?$
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
20
How many integers $n$ satisfy $0<n<60$ and $4n\equiv 2\pmod 6?$
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