
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
Find the linear combination \(3A - 2B\), given

\[ 
A=\left(\begin{array}{rrr}
2 & -4 & 0 \\
-1 & 5 & 1 \\
0 & 3 & -7
\end{array}\right), \quad B=\left(\begin{array}{rrr}
4 & -1 & -2 \\
0 & -3 & 5 \\
2 & 0 & -4
\end{array}\right)
\]

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