
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 $a$, $b$, $c$, and $d$ are integers such that:
- $a - b + c = 7$
- $b - c + d = 8$
- $c - d + a = 4$
- $d - a + b = 3$
- $a + b + c - d = 10$
Find the value of $a + b + c + d$.

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