
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 an ellipse C: $$\frac {x^{2}}{a^{2}}+ \frac {y^{2}}{b^{2}}=1$$ with a>b>0 and left and right foci F1 and F2 respectively, a line passing through F1 intersects C at points A and B. The perimeter of △ABF2 is 8. When the slope of line AB is $$\frac {3}{4}$$, AF2 is perpendicular to the x-axis. Find the equation of ellipse C.

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