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3a\left(2c+d\right)+4b\left(2c+d\right)
Do the grouping 6ac+3ad+8bc+4bd=\left(6ac+3ad\right)+\left(8bc+4bd\right), and factor out 3a in the first and 4b in the second group.
\left(2c+d\right)\left(3a+4b\right)
Factor out common term 2c+d by using distributive property.