
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 the trapezium bounded by the lines $y = e$, $y=-f$, $x=-g$, and $x=h$, where $e, f, g,$ and $h$ are positive numbers, and the right triangle formed inside this trapezium using the line $y = e - x$ from $x=0$ to $x=h$, calculate the total area of the remaining trapezium after removing the triangle.

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