
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
On Monday, Jessica worked $3t-10$ hours and earned $4t-9$ dollars per hour. Her coworker Bob worked $t+12$ hours but only earned $2t+1$ dollars an hour. Both ended up earning the same amount of money. Find the value of $t$ if it is known that $t$ must be a positive integer and greater than three hours.

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