
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
Lucas's apartment consists of 2 rooms, each 15 feet long, 12 feet wide, and 10 feet high. Doorways and windows, which will not be painted, occupy 75 square feet in total per room. Calculate the total number of gallons of paint Lucas needs to buy if he wants to apply 2 coats of paint, given that each gallon of paint covers 350 square feet for one coat.

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