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[latex] \frac{5}{6} b- \frac{5}{9} b+1= \frac{1}{2} b+ \frac{1}{3} [/latex]
[latex] \frac{5}{6}b- \frac{5}{9}b-\frac{1}{2}b= \frac{1}{3}-1 [/latex]
[latex] \frac{15-10-9}{18} *b=- \frac{2}{3} [/latex]
[latex]- \frac{2}{9} b=- \frac{2}{3} [/latex]
[latex]b=- \frac{2}{3}:(- \frac{2}{9}) [/latex]
[latex]b=- \frac{2}{3}*- \frac{9}{2}= \frac{2*9}{3*2}[/latex]
[latex]b=3 [/latex]
[latex] \frac{5}{6}*3- \frac{5}{9}*3+1= \frac{1}{2}*3+ \frac{1}{3} [/latex]
[latex] \frac{15}{6}- \frac{15}{9}+1= \frac{3}{2}+ \frac{1}{3} [/latex]
[latex]1 \frac{5}{6}=1 \frac{5}{6} [/latex]
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