
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
Suppose \(a\), \(b\), \(c\), \(d\), and \(e\) are integers satisfying:
1. \(a - b + c - e = 7\)
2. \(b - c + d + e = 8\)
3. \(c - d + a - e = 4\)
4. \(d - a + b + e = 3\)
What is the value of \(a + b + c + d + e\)?

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