Solve for a
a = \frac{16}{9} = 1\frac{7}{9} \approx 1.777777778
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4a-18=7\left(-11a+18\right)
Variable a cannot be equal to \frac{18}{11} since division by zero is not defined. Multiply both sides of the equation by -11a+18.
4a-18=-77a+126
Use the distributive property to multiply 7 by -11a+18.
4a-18+77a=126
Add 77a to both sides.
81a-18=126
Combine 4a and 77a to get 81a.
81a=126+18
Add 18 to both sides.
81a=144
Add 126 and 18 to get 144.
a=\frac{144}{81}
Divide both sides by 81.
a=\frac{16}{9}
Reduce the fraction \frac{144}{81} to lowest terms by extracting and canceling out 9.
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