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\frac{35}{2}=9+k
Divide both sides by 2.
9+k=\frac{35}{2}
Swap sides so that all variable terms are on the left hand side.
k=\frac{35}{2}-9
Subtract 9 from both sides.
k=\frac{35}{2}-\frac{18}{2}
Convert 9 to fraction \frac{18}{2}.
k=\frac{35-18}{2}
Since \frac{35}{2} and \frac{18}{2} have the same denominator, subtract them by subtracting their numerators.
k=\frac{17}{2}
Subtract 18 from 35 to get 17.