Question 177143


{{{d/6+d/12+d/7+5+d/2+4=d}}} Start with the given equation.



{{{84(d/cross(6))+84(d/cross(12))+84(d/cross(7))+84(5)+84(d/cross(2))+84(4)=84(d)}}} Multiply EVERY term by the LCD {{{84}}} to clear out the fractions.



{{{14d+7d+12d+420+42d+336=84d}}} Multiply. Notice how the denominators cancel and the fractions are gone.



{{{75d+756=84d}}} Combine like terms on the left side.



{{{75d=84d-756}}} Subtract {{{756}}} from both sides.



{{{75d-84d=-756}}} Subtract {{{84d}}} from both sides.



{{{-9d=-756}}} Combine like terms on the left side.



{{{d=(-756)/(-9)}}} Divide both sides by {{{-9}}} to isolate {{{d}}}.



{{{d=84}}} Reduce.



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Answer:


So the solution is {{{d=84}}}