
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
A 3-inch by 5-inch picture is enlarged by tripling its dimensions. A 3-inch-wide border is then placed around each side of the enlarged picture. Thin metal framing is sold only in increments of one foot. What is the minimum number of linear feet of framing that must be purchased to go around the perimeter of the border?

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