Let's solve each expression step by step.

### a)
\[
\frac{7}{6} + \frac{1}{6} - \frac{3}{2}
\]

Combine the fractions:
\[
= \frac{7+1}{6} - \frac{3}{2} = \frac{8}{6} - \frac{3}{2}
\]

Convert \(\frac{3}{2}\) to a denominator of 6:
\[
\frac{3}{2} = \frac{9}{6}
\]

Subtract:
\[
\frac{8}{6} - \frac{9}{6} = \frac{-1}{6}
\]

### b)
\[
\frac{11}{15} - \frac{19}{13} + \frac{-7}{13} - \frac{11}{15}
\]

Combine like terms:
\[
\frac{11}{15} - \frac{11}{15} + \frac{-19-7}{13}
\]

This simplifies to:
\[
0 + \frac{-26}{13} = -2
\]

### d)
\[
\frac{-5}{17} - \frac{31}{33} + \frac{-5}{17} + \frac{2}{33} + \frac{2}{17} + \frac{5}{17}
\]

Group and simplify:
\[
\left( \frac{-5}{17} + \frac{-5}{17} + \frac{2}{17} + \frac{5}{17} \right) + \left( \frac{-31}{33} + \frac{2}{33} \right)
\]

First part:
\[
= \frac{-5 - 5 + 2 + 5}{17} = \frac{-3}{17}
\]

Second part:
\[
= \frac{-31 + 2}{33} = \frac{-29}{33}
\]

Add the two results:
\[
- \frac{3}{17} - \frac{29}{33}
\]

Find a common denominator (561):
\[
= \frac{-3 \times 33}{561} - \frac{29 \times 17}{561} = \frac{-99}{561} - \frac{493}{561} = \frac{-592}{561}
\]

### e)
\[
\frac{15}{11} + \frac{1}{17} - \frac{4}{11} - \frac{18}{11}
\]

Combine like terms:
\[
= \left(\frac{15}{11} - \frac{4}{11} - \frac{18}{11}\right) + \frac{1}{17}
\]

Simplify the first part:
\[
= \frac{15 - 4 - 18}{11} = \frac{-7}{11}
\]

Final result:
\[
= \frac{-7}{11} + \frac{1}{17}
\]

Common denominator (187):
\[
= \frac{-7 \times 17}{187} + \frac{1 \times 11}{187} = \frac{-119}{187} + \frac{11}{187} = \frac{-108}{187}
\]

### f)
\[
14 \left(-\frac{3}{7}\right)^2 + \frac{4}{7}
\]

Square inside the parentheses:
\[
= 14 \times \frac{9}{49} + \frac{4}{7}
\]

Simplify:
\[
= \frac{14 \times 9}{49} + \frac{4}{7}
\]

\[
= \frac{126}{49} + \frac{4}{7} = \frac{18}{7} + \frac{4}{7}
\]

Add the fractions:
\[
= \frac{18+4}{7} = \frac{22}{7}
\]

### g)
\[
-\frac{3}{26} \cdot \left(-\frac{15}{19}\right) - \frac{2}{19} \cdot \left(-\frac{3}{26}\right)
\]

Multiply terms:
\[
= \frac{3 \times 15}{26 \times 19} + \frac{2 \times 3}{19 \times 26}
\]

Combine:
\[
= \frac{45}{494} + \frac{6}{494} = \frac{51}{494}
\]

### h)
\[
\left(-\frac{1}{7} - \frac{4}{9}\right) - \left(-\frac{10}{7} - \frac{4}{9}\right)
\]

Simplify each group:
\[
= -\frac{1}{7} - \frac{4}{9} + \frac{10}{7} + \frac{4}{9}
\]

Combine:
\[
=\left( -\frac{1}{7} + \frac{10}{7} \right) + \left( -\frac{4}{9} + \frac{4}{9} \right)
\]

\[
= \frac{9}{7} + 0 = \frac{9}{7}
\]

These are the simplified results of each equation.