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5/8m - 3/8 = 1/2m + 7/8 

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[tex]\frac{5}{8m}-\frac{3}{8}=\frac{1}{2m}+\frac{7}{8} \\\\ \frac{5}{8m}-\frac{1}{2m}^{(4}=\frac{7}{8}+\frac{3}{8} \\\\ \frac{5-4}{8m}=\frac{10}{8} \\\\ \frac{1}{8m}=\frac{10}{8} \\\\ 8m=\frac{8*1}{10} \\\\ m=\frac{8}{10}*\frac{1}{8} \\\\ \boxed{m=\frac{1}{10}}[/tex]
[tex]\frac{5}{8}m-\frac{3}{8}=\frac{1}{2}m+\frac{7}{8}\ \ \ \ |multiply\ both\ sides\ by\ 8\\\\8\times\frac{5}{8}m-8\times\frac{3}{8}=8\times\frac{1}{2}m+8\times\frac{7}{8}\\\\5m-3=4m+7\ \ \ \ \ |add\ 3\ to\ both\ sides\\\\5m=4m+10\ \ \ \ \ |subtract\ 4m\ from\ both\ sides\\\\\boxed{m=10}[/tex]

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