
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 table with a certain height is used to arrange three identical wooden blocks. When two blocks are stacked from one end to the other across the table, the total length is measured as 38 inches. After rearranging so that one block is stacked on top of another with the third block beside them, the total length measured is 34 inches. Determine the height of the table.

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