
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
Fifteen unit cubes are glued together to form an 'L' shape in three dimensions as follows: Base layer forms a horizontal 'L' made of 8 cubes (2 by 3 rectangle, with an additional 2 cubes extending from one end), and a vertical column of 7 cubes is built up from one of the outer cubes of the base. Calculate the total surface area of the resulting solid.

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