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1=2-6k
Variable k cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 6k^{2}, the least common multiple of 6k^{2},3k^{2},k.
2-6k=1
Swap sides so that all variable terms are on the left hand side.
-6k=1-2
Subtract 2 from both sides.
-6k=-1
Subtract 2 from 1 to get -1.
k=\frac{-1}{-6}
Divide both sides by -6.
k=\frac{1}{6}
Fraction \frac{-1}{-6} can be simplified to \frac{1}{6} by removing the negative sign from both the numerator and the denominator.