Решим уравнение:
$$\frac{13}{43} = \frac{5}{43} - (m + \frac{29}{43})$$
$$\frac{13}{43} = \frac{5}{43} - m - \frac{29}{43}$$
$$\frac{13}{43} = \frac{5 - 29}{43} - m$$
$$\frac{13}{43} = -\frac{24}{43} - m$$
$$m = -\frac{24}{43} - \frac{13}{43}$$
$$m = -\frac{37}{43}$$
Ответ: $$m = -\frac{37}{43}$$