
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
Fill the seven numbers $2, 4, 6, 8, 10, 12, 14$ into the circles in the diagram such that the sum of the three numbers in each row is the same. What is this common sum? (List all possible sums.)

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