
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
Given that two identical wooden blocks and a small additional block of height $h_3$ are placed by a table, with $h_3 = 4$ inches, find the height of the table if in Configuration A the total length from the end of one wooden block to the end of another is 50 inches, and in Configuration B, one wooden block is placed on top of the small block and the total measured length is 44 inches.

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