
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 &= 18 - 4x \\
x + z &= 16 - 4y \\
x + y &= 9 - 4z,
\end{align*}
what is $3x + 3y + 3z$?

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