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\frac{k}{-5}=\frac{2}{9}
Subtract 6 from 1 to get -5.
k=\frac{2}{9}\left(-5\right)
Multiply both sides by -5.
k=\frac{2\left(-5\right)}{9}
Express \frac{2}{9}\left(-5\right) as a single fraction.
k=\frac{-10}{9}
Multiply 2 and -5 to get -10.
k=-\frac{10}{9}
Fraction \frac{-10}{9} can be rewritten as -\frac{10}{9} by extracting the negative sign.