Answer :

K  = ( F +460 )*5/9
9K/5= F +460
F = ( 9K/5) - 460
[tex]K= (F+460)*\frac{5}{9} \\\\ F+460= \frac{9K}{5} \\\\ \boxed{F=\frac{9K}{5}-460}[/tex]

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