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If (2x^(2)+3x+4)/((x+2)^(4))=(A)/((x+2))...

If `(2x^(2)+3x+4)/((x+2)^(4))=(A)/((x+2))+(2)/((x+2)^(2))-(5)/((x+2)^(3))+(6)/((x+2)^(4))`, then `A=` _________.

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