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2400b=450-450b
Use the distributive property to multiply 450 by 1-b.
2400b+450b=450
Add 450b to both sides.
2850b=450
Combine 2400b and 450b to get 2850b.
b=\frac{450}{2850}
Divide both sides by 2850.
b=\frac{3}{19}
Reduce the fraction \frac{450}{2850} to lowest terms by extracting and canceling out 150.