
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 integers \( a, b, c, d, e, f, \) and \( g \), none of which is negative, satisfy the following five simultaneous equations:
$$
\begin{array}{l}
a + b + c = 2, \\
b + c + d = 2, \\
c + d + e = 2, \\
d + e + f = 2, \\
e + f + g = 2.
\end{array}
$$

What is the maximum possible value of \( a + b + c + d + e + f + g \)?

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