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Convert the polar equation to rectangular form:

r = -2cosø - 2sinø

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multiply by r and you have

r^2 = -2rcosø-2rsinø
x^2+y^2 = -2x-2y
x^2+2x + y^2+2y = 0
(x+1)^2 + (y+1)^2 = 2

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