
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:
\[
y + z = 18 - 4x \\
x + z = 22 - 4y \\
x + y = 15 - 4z,
\]
what is \( 3x + 3y + 3z \)?

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