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b\left(-awz+axy-cwz+cxy\right)
Factor out b.
a\left(xy-wz\right)+c\left(xy-wz\right)
Consider -awz+axy-cwz+cxy. Do the grouping -awz+axy-cwz+cxy=\left(-awz+axy\right)+\left(-cwz+cxy\right), and factor out a in the first and c in the second group.
\left(xy-wz\right)\left(a+c\right)
Factor out common term xy-wz by using distributive property.
b\left(xy-wz\right)\left(a+c\right)
Rewrite the complete factored expression.