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Factorise the denominator and numerator.
(x+4)(3x+5)/(x+6)(3x+5) <— Common factor 3x+5
=(x+4)/(x+6)
(x+4)(3x+5)/(x+6)(3x+5) <— Common factor 3x+5
=(x+4)/(x+6)
Can be further simplified to 1 - 2/(x+6)