
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
Six students from Adams school worked for 4 days, five students from Benton school worked for 6 days, and three students from Dexter school worked for 8 days. If the total compensation for all students was 840 dollars and each student received the same amount for a day's work, calculate the total amount earned by seven students from Carter school who worked for 7 days.

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