
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
If the margin made on an article costing \( C \) dollars and selling for \( S \) dollars is \( M = \frac{2}{n}C \), where \( n \) is a constant greater than 2, then find the correct expression for \( M \) in terms of \( S \).
**A)** \( M = \frac{1}{n+2}S \)  
**B)** \( M = \frac{2}{n+2}S \)  
**C)** \( M = \frac{n}{n+2}S \)  
**D)** \( M = \frac{2}{n-2}S \)  
**E)** \( M = \frac{2n}{n+2}S \)

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