Answer
$2(z+4)(z-2)$
Work Step by Step
$(z+4)$ is in both terms, we can factor it out:
$(z+4)((3z+2)-(z+6))=(z+4)(2z-4)$
We can factor out a constant of 2 from the second term:
$(z+4)(2z-4)=(z+4)\times2\times (z-2)=2(z+4)(z-2)$
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