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3\left(-b\right)-3+6=6b
Use the distributive property to multiply 3 by -b-1.
3\left(-b\right)+3=6b
Add -3 and 6 to get 3.
3\left(-b\right)+3-6b=0
Subtract 6b from both sides.
3\left(-b\right)-6b=-3
Subtract 3 from both sides. Anything subtracted from zero gives its negation.
-3b-6b=-3
Multiply 3 and -1 to get -3.
-9b=-3
Combine -3b and -6b to get -9b.
b=\frac{-3}{-9}
Divide both sides by -9.
b=\frac{1}{3}
Reduce the fraction \frac{-3}{-9} to lowest terms by extracting and canceling out -3.