
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
There are $7$ friends, and the number of jump ropes they can do in $1$ minute (unit: count) are $180$, $182$, $173$, $175$, $a$, $178$, $176$. Given that the average number of jump ropes these $7$ friends can do in $1$ minute is $178$, find the value of $a$.

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