[tex]- \frac{1}{3} + 3z = - \frac{5}{6} \\ \\ 2z - \frac{1}{3} = - \frac{5}{6} \\ \\ 2z = - \frac{5}{6} + \frac{1}{3} \\ \\ 2z = - \frac{1}{2} \\ \\ = - \frac{1}{2 \times 2} \\ \\ z = - \frac{1}{4} \\ \\ [/tex]
The final result is: z = - 1/4 or z = -0.25.
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[tex]- \frac{2}{3} x + \frac{3}{7} = \frac{1}{2} \\ \\ - \frac{2x}{3} + \frac{3}{7} = \frac{1}{2} - \frac{2x}{3} = \frac{1}{2} - \frac{3}{7} \\ \\ - \frac{2x}{3} = \frac{1}{14} \\ \\ -2x = \frac{1}{14} \times 3 \\ \\ x = \frac{3}{14 \times -2} \\ \\ x = - \frac{3}{28} \\ \\ [/tex]
The final result is: x = - 3/28 or x = -0.1071.