Question 168811
{{{2/8=(n+4)/(n-4)}}} Start with the given equation.



{{{2(n-4)=8(n+4)}}} Cross multiply.



{{{2n-8=8n+32}}} Distribute.



{{{2n=8n+32+8}}} Add {{{8}}} to both sides.



{{{2n-8n=32+8}}} Subtract {{{8n}}} from both sides.



{{{-6n=32+8}}} Combine like terms on the left side.



{{{-6n=40}}} Combine like terms on the right side.



{{{n=(40)/(-6)}}} Divide both sides by {{{-6}}} to isolate {{{n}}}.



{{{n=-20/3}}} Reduce.



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Answer:


So the answer is {{{n=-20/3}}} which approximates to {{{n=-6.667}}}.