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6g\left(7h+1\right)+7\left(7h+1\right)
Do the grouping 42gh+6g+49h+7=\left(42gh+6g\right)+\left(49h+7\right), and factor out 6g in the first and 7 in the second group.
\left(7h+1\right)\left(6g+7\right)
Factor out common term 7h+1 by using distributive property.