
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
The area of a rectangle remains unchanged when its length is increased by $3$ inches and its width is decreased by $1$ inch or when its length is decreased by $1.5$ inches and its width is increased by $2$ inches. Find the original area of the rectangle.
A) 12
B) 13.5
C) 15
D) 15.75

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