г) 4/7 m+5/14 m−10/21 m=1/7

г) Решим уравнение:

$$\frac{4}{7}m + \frac{5}{14}m - \frac{10}{21}m = \frac{1}{7}$$

$$\frac{4 \cdot 6}{7 \cdot 6}m + \frac{5 \cdot 3}{14 \cdot 3}m - \frac{10 \cdot 2}{21 \cdot 2}m = \frac{1}{7}$$

$$\frac{24}{42}m + \frac{15}{42}m - \frac{20}{42}m = \frac{1}{7}$$

$$\frac{24 + 15 - 20}{42}m = \frac{1}{7}$$

$$\frac{19}{42}m = \frac{1}{7}$$

$$m = \frac{1}{7} : \frac{19}{42}$$

$$m = \frac{1}{7} \cdot \frac{42}{19}$$

$$m = \frac{1 \cdot 6}{1 \cdot 19} = \frac{6}{19}$$

Ответ: $$m = \frac{6}{19}$$