\[\boxed{\text{5.\ 86}}\]
\[\textbf{а)}\ 0,4n - 0,7m - 0,9n + 0,7m =\]
\[= - 0,5n\]
\[\textbf{б)}\ 6c - 8c - 4c + 21 - 13 =\]
\[= - 6c + 8\]
\[\textbf{в)}\ \frac{3}{4}a + \frac{5}{6}b - \frac{1}{8}a - \frac{1}{3}b =\]
\[= \frac{6}{8}a - \frac{1}{8}a + \frac{5}{6}b - \frac{2}{6}b =\]
\[= \frac{5}{8}a + \frac{3}{6}b = \frac{5}{8}a + \frac{1}{2}b\]
\[\textbf{г)}\ \frac{7}{9}x - \frac{3}{4} - \frac{11}{18}x - \frac{1}{4} =\]
\[= \frac{14}{18}x - \frac{11}{18}x - \frac{4}{4} =\]
\[= \frac{3}{18}x - 1 = \frac{1}{6}x - 1\]
\[\textbf{д)}\ 0,3m - \frac{2}{7} - 3m + \frac{6}{7} =\]
\[= - 2,7m + \frac{4}{7}\]
\[\textbf{е)}\ \frac{1}{7}a + \frac{1}{4}c - \frac{1}{7}a + \frac{3}{4}c =\]
\[= \frac{4}{4}c = 1\]