
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
Solve the equation $\frac{3x^2}{x-2} - \frac{3x + 8}{4} + \frac{6 - 9x}{x-2} + 2 = 0$.
A) $\frac{3}{4}$
B) $\frac{4}{3}$
C) $\frac{4}{9}$
D) $\frac{9}{4}$

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