
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 equal to: 
(a) 10 
(b) 21 
(c) 24 
(d) 26 
(e) 28

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