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4\left(2\times 9+8\right)=-117b
Multiply both sides of the equation by 36, the least common multiple of 9,4.
4\left(18+8\right)=-117b
Multiply 2 and 9 to get 18.
4\times 26=-117b
Add 18 and 8 to get 26.
104=-117b
Multiply 4 and 26 to get 104.
-117b=104
Swap sides so that all variable terms are on the left hand side.
b=\frac{104}{-117}
Divide both sides by -117.
b=-\frac{8}{9}
Reduce the fraction \frac{104}{-117} to lowest terms by extracting and canceling out 13.