
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 Tuesday, I worked $t-4$ hours and earned $3t-7$ dollars per hour. My colleague Sarah worked $t-2$ hours and earned $t+1$ dollars per hour. We both ended up earning the same amount that day. What is the value of $t$?

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