
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 &= -10 - 4b \\
a + b &= 8 - 2c,
\end{align*} 
what is $3a + 3b + 3c$?

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