Question 297349
{{{(7-2n)/(7+2n)=1/18}}} Start with the given equation.



{{{18(7-2n)=1(7+2n)}}} Cross multiply



{{{126-36n=7+2n}}} Distribute.



{{{-36n=7+2n-126}}} Subtract {{{126}}} from both sides.



{{{-36n-2n=7-126}}} Subtract {{{2n}}} from both sides.



{{{-38n=7-126}}} Combine like terms on the left side.



{{{-38n=-119}}} Combine like terms on the right side.



{{{n=(-119)/(-38)}}} Divide both sides by {{{-38}}} to isolate {{{n}}}.



{{{n=119/38}}} Reduce.



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Answer:


So the solution is {{{n=119/38}}} which approximates to {{{n=3.132}}}.