
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 \(a, b, c\) satisfy the system of equations 
\begin{align*}
b + c &= 15 - 2a, \\
a + c &= -18 - 3b, \\
a + b &= 8 - 4c,
\end{align*}
and also \(a - b + c = 3\), find \(3a + 3b + 3c\).

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