
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
In a class of $n > 15$ students, the mean score of the entire class is $10$. A subgroup of $15$ students has a mean score of $16$. Assume that due to a tabulation error, the total score of the subgroup was double-counted. What is the actual mean of the remaining students, in terms of $n$?
**A** $\frac{10n - 240}{n-15}$  
**B** $\frac{16n - 240}{n-15}$  
**C** $\frac{10n - 480}{n-15}$  
**D** $\frac{16n - 480}{n-15}$

Present the answer in LaTex format: \boxed{Your answer}
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