
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 satisfying the following equations: $a - b + c = 7$, $b - c + d = 4$, $c - d + a = 2$, and $d - a + b = 1$. What is the value of $a + b + c + d$?

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