9
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
When four positive integers are divided by $11$, the remainders are $2,$ $4,$ $6,$ and $8,$ respectively.

When the sum of the four integers is divided by $11$, what is the remainder?
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
9
When four positive integers are divided by $11$, the remainders are $2,$ $4,$ $6,$ and $8,$ respectively.

When the sum of the four integers is divided by $11$, what is the remainder?
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