
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 the hyperbola C₁: $$\frac {x^{2}}{4}$$\- $$\frac {y^{2}}{12}$$\=1.
(1) If point M(3, t) is on hyperbola C₁, find the distance from point M to the right focus of hyperbola C₁.
(2) Find the standard equation of hyperbola C₂ that has common asymptotes with hyperbola C₁ and passes through point (-3, 2$$\sqrt {6}$$).

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