
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
When seven dice are thrown at the same time, the probability that the sum of the numbers on the seven upward faces is 10 is equal to the probability that the sum of the numbers on the seven upward faces is $a$ ($a \neq 10$). What is the value of $a$?

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