
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 four distinct positive integers \( m, n, p, \) and \( q \) satisfy the equation \((7-m)(7-n)(7-p)(7-q)=4\), then the sum \( m+n+p+q \) is:
(a) 10 ;
(b) 21 ;
(c) 24 ;
(d) 26 ;
(e) 28 .

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