
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
If \( x, y, z \) satisfy the system of equations:
\begin{align*}
y + z &= 8 - 2x \\
x + z &= 10 - 2y \\
x + y &= 14 - 2z,
\end{align*}
what is \( 2x + 2y + 2z \)?

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