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7a\left(4b-9\right)-3b\left(4b-9\right)
Do the grouping 28ab-63a-12b^{2}+27b=\left(28ab-63a\right)+\left(-12b^{2}+27b\right), and factor out 7a in the first and -3b in the second group.
\left(4b-9\right)\left(7a-3b\right)
Factor out common term 4b-9 by using distributive property.