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35=49+b\left(-19\right)
Variable b cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by b.
49+b\left(-19\right)=35
Swap sides so that all variable terms are on the left hand side.
b\left(-19\right)=35-49
Subtract 49 from both sides.
b\left(-19\right)=-14
Subtract 49 from 35 to get -14.
b=\frac{-14}{-19}
Divide both sides by -19.
b=\frac{14}{19}
Fraction \frac{-14}{-19} can be simplified to \frac{14}{19} by removing the negative sign from both the numerator and the denominator.