Solve for k
k=\frac{23}{42}\approx 0.547619048
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-\frac{81}{14}+27k-\frac{126}{14}=0
Convert 9 to fraction \frac{126}{14}.
\frac{-81-126}{14}+27k=0
Since -\frac{81}{14} and \frac{126}{14} have the same denominator, subtract them by subtracting their numerators.
-\frac{207}{14}+27k=0
Subtract 126 from -81 to get -207.
27k=\frac{207}{14}
Add \frac{207}{14} to both sides. Anything plus zero gives itself.
k=\frac{\frac{207}{14}}{27}
Divide both sides by 27.
k=\frac{207}{14\times 27}
Express \frac{\frac{207}{14}}{27} as a single fraction.
k=\frac{207}{378}
Multiply 14 and 27 to get 378.
k=\frac{23}{42}
Reduce the fraction \frac{207}{378} to lowest terms by extracting and canceling out 9.
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