
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
Given that the pole and the polar axis coincide with the origin and the positive half of the x-axis of the Cartesian coordinate system, respectively, and the unit of the polar coordinate system is the same as that of the Cartesian coordinate system. If the polar equation of curve C is $\rho=8\cos\theta-6\sin\theta$ ($\theta\in\mathbb{R}$), then the ordinary equation of curve C in Cartesian coordinates is.

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