
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
\[
y + z = 20 - 4x \\
x + z = -10 - 4y \\
x + y = 14 - 4z,
\]
what is the value of \(2x + 2y + 2z\)?

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