
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
Consider the following system of 7 linear equations with 7 unknowns:
\[
\begin{split}
a+b+c+d+e & = 1 
b+c+d+e+f & = 2 
c+d+e+f+g & = 3 
d+e+f+g+a & = 4 
e+f+g+a+b & = 5 
f+g+a+b+c & = 6 
g+a+b+c+d & = 7 .
\end{split}
\]
What is  $g$ ?


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