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Let the required number be x
Now,As Per Question------
=>(-30)^-1÷x=(6)^-1
=>-1/30=1/6×x
=>-1/30=1/6x
=>x= (-1/30)/(1/6)
=>x=-1/5
=>x= (-5)^-1
Thus,the required number is (-5)^-1
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