
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
Lucky Lucy's teacher asked her to substitute numbers for \(a\), \(b\), \(c\), \(d\), and \(e\) in the expression \(a+(b-(c+(d-e)))\) and evaluate the result. Lucy ignored the parentheses but added and subtracted correctly and obtained the correct result by coincidence. The numbers Lucy substituted for \(a\), \(b\), \(c\), and \(d\) were \(2\), \(4\), \(6\), and \(8\), respectively. What number did Lucy substitute for \(e\)?
**A)** \(-8\)  
**B)** \(0\)  
**C)** \(4\)  
**D)** \(8\)  
**E)** \(16\)

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