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k=6-\frac{1}{2}k-k
Divide each term of 12-k by 2 to get 6-\frac{1}{2}k.
k=6-\frac{3}{2}k
Combine -\frac{1}{2}k and -k to get -\frac{3}{2}k.
k+\frac{3}{2}k=6
Add \frac{3}{2}k to both sides.
\frac{5}{2}k=6
Combine k and \frac{3}{2}k to get \frac{5}{2}k.
k=6\times \frac{2}{5}
Multiply both sides by \frac{2}{5}, the reciprocal of \frac{5}{2}.
k=\frac{6\times 2}{5}
Express 6\times \frac{2}{5} as a single fraction.
k=\frac{12}{5}
Multiply 6 and 2 to get 12.