\[\frac{29}{43}-m-\frac{13}{43}=\frac{5}{43};\]
\[\frac{16}{43}-m=\frac{5}{43};\]
\[-m=-\frac{11}{43};\qquad m=\frac{11}{43}.\]
Ответ: \(m=\frac{11}{43}\).