
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 $\mathbf{a},$ $\mathbf{b},$ and $\mathbf{c}$ are vectors such that $\mathbf{a} \cdot \mathbf{b} = 5,$ $\mathbf{a} \cdot \mathbf{c} = -2,$ and $\mathbf{b} \cdot \mathbf{c} = 3,$ then find
\[
\mathbf{a} \cdot (4 \mathbf{b} - 3 \mathbf{c}).
\]

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