
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
Given that a woman increases her weaving by an equal amount every day and weaves a total of 28 feet in seven days, and the sum of the lengths she weaves on the second, fifth, and eighth days is 15 feet, calculate the length she weaves on the 30th day of the month.

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