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Solve the algebraic equation to find values of A and B.

A math problem featuring a purple starfish and a fraction equation: (x+2)/(2x-2) - (-2x-1)/(x²-4x+3) = (Ax+B)/(2(x-3)), with answer choices 4, -4, -5, 8, 2, 3, 1, -8, 9, -1 displayed as orange starfish.

A math problem featuring a purple starfish and a fraction equation: (x+2)/(2x-2) - (-2x-1)/(x²-4x+3) = (Ax+B)/(2(x-3)), with answer choices 4, -4, -5, 8, 2, 3, 1, -8, 9, -1 displayed as orange starfish.

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