Answer:
[tex]\huge\boxed{m=-4}[/tex]
Step-by-step explanation:
[tex]\text{The distributive property:}\ a(b+c)=ab+ac\\\\-4(m+6)=-8\\\\(-4)(m)+(-4)(6)=-8\\\\-4m-24=-8\qquad\text{add 24 to both sides}\\\\-4m-24+24=-8+24\\\\-4m=16\qquad\text{divide both sides by (-4)}\\\\\dfrac{-4m}{-4}=\dfrac{16}{-4}\\\\\boxed{m=-4}[/tex]
