
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
$(1)$ Given a point $P(-4,3)$ on the terminal side of angle $\alpha$, find the value of $\frac{cos(\frac{π}{2}+\alpha)sin(\frac{3}{2}π-\alpha)}{tan(-π+\alpha)}$;<br/>$(2)$ Simplify and find the value of: $(\log_{4}3+\log_{8}3) \cdot (\log_{3}2+\log_{9}2)+{(\frac{64}{27})}^{-\frac{1}{3}}$.

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