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[latex]6x+12y=7\ \ \ \ /-6x\\\\12y=-6x+7\ \ \ \ /:12\\\\y=\frac{-6x+7}{12}\\\\y=-\frac{6}{12}x+\frac{7}{12}\\\\y=-\frac{1}{2}x+\frac{7}{12}\\\\Answer:m=-\frac{1}{2}[/latex]
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[latex]6x+12y=7\ \ \ \ /-6x\\\\12y=-6x+7\ \ \ \ /:12\\\\y=\frac{-6x+7}{12}\\\\y=-\frac{6}{12}x+\frac{7}{12}\\\\y=-\frac{1}{2}x+\frac{7}{12}\\\\Answer:m=-\frac{1}{2}[/latex]