
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
All squares have the same value, and all hexagons have the same value. What is the sum of three hexagons?
\begin{align*}
\square + \hexagon + \square + \hexagon + \square&= 18\\
\hexagon + \square+\hexagon+\square+\hexagon &= 20\\
\hexagon + \hexagon + \hexagon &= \ ?
\end{align*}

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