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[latex][-6+(-13)]+8=-6+(m+8)\\\\(-6-13)+8=-6+m+8\\\\-19+8=(-6+8)+m\\\\-11=2+m\ \ \ |change\ sides\\\\2+m=-11\ \ \ \ |subtract\ 2\ from\ both\ sides\\\\\boxed{m=-13}\leftarrow your\ answer[/latex]
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[latex][-6+(-13)]+8=-6+(m+8)\\\\(-6-13)+8=-6+m+8\\\\-19+8=(-6+8)+m\\\\-11=2+m\ \ \ |change\ sides\\\\2+m=-11\ \ \ \ |subtract\ 2\ from\ both\ sides\\\\\boxed{m=-13}\leftarrow your\ answer[/latex]