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a\left(z+w\right)+b\left(z+w\right)
Do the grouping az+aw+bz+bw=\left(az+aw\right)+\left(bz+bw\right), and factor out a in the first and b in the second group.
\left(z+w\right)\left(a+b\right)
Factor out common term z+w by using distributive property.