
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
There is a woman skilled in weaving, who increases her weaving length by the same amount each day. In seven days, she weaves a total of 28 meters. The sum of the lengths she weaves on the second, fifth, and eighth days is 15 meters. Determine the length she weaves on the ninth day.

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