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11a\left(2b-c\right)+3r\left(2b-c\right)
Do the grouping 22ab-11ac+6rb-3rc=\left(22ab-11ac\right)+\left(6rb-3rc\right), and factor out 11a in the first and 3r in the second group.
\left(2b-c\right)\left(11a+3r\right)
Factor out common term 2b-c by using distributive property.