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1=\frac{5}{2}k
Multiply \frac{1}{2} and 5 to get \frac{5}{2}.
\frac{5}{2}k=1
Swap sides so that all variable terms are on the left hand side.
k=1\times \frac{2}{5}
Multiply both sides by \frac{2}{5}, the reciprocal of \frac{5}{2}.
k=\frac{2}{5}
Multiply 1 and \frac{2}{5} to get \frac{2}{5}.