
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
Let $\mathbf{u}, \mathbf{v},$ and $\mathbf{w}$ be vectors such that $\mathbf{u} \cdot \mathbf{v} = 5$, $\mathbf{u} \cdot \mathbf{w} = -2$, and $\mathbf{v} \cdot \mathbf{w} = 4$. Find the value of $\mathbf{v} \cdot (8 \mathbf{w} - 3 \mathbf{u})$.

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