
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
Students from Arlington school worked for $4$ days, students from Bradford school worked for $7$ days, and students from Clinton school worked for $8$ days. If a total of eight students, six students, and seven students from Arlington, Bradford, and Clinton schools respectively earned a total of $1,456, calculate the total earnings from Clinton school.

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