
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 \(a \equiv 16 \mod 44\) and \(b \equiv 77 \mod 44\), then for what integer \(n\) in the set \{120, 121, 122, …, 160, 161\} is it true that \(a - b \equiv n \mod 44\)?

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