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17x\left(-m+a\right)+3y\left(-m+a\right)+7z\left(-m+a\right)
Do the grouping 17ax-17mx+3ay-3my+7az-7mz=\left(17ax-17mx\right)+\left(3ay-3my\right)+\left(7az-7mz\right), and factor out 17x,3y,7z in each of the groups respectively.
\left(-m+a\right)\left(17x+3y+7z\right)
Factor out common term -m+a by using distributive property.