
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
Suppose $a, b, c$ satisfy the system of equations:
\begin{align*}
b + c &= 15 - 4a \\
a + c &= -18 - 2b \\
a + b &= 9 - 5c,
\end{align*}
what is $3a + 3b + 3c$?

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