Let's solve each equation step by step.

### Equation e:
\[ \frac{1}{8}x \left(0.75x - \frac{1}{6}x\right) + \frac{-27}{32} = 0 \]

1. Simplify inside the parentheses:
\[ 0.75x - \frac{1}{6}x \]

Convert \(0.75\) to a fraction:
\[ 0.75 = \frac{3}{4} \]

So,
\[ \frac{3}{4}x - \frac{1}{6}x \]

Find a common denominator (12):
\[ \frac{9}{12}x - \frac{2}{12}x = \frac{7}{12}x \]

2. Substitute back into the equation:
\[ \frac{1}{8}x \left(\frac{7}{12}x\right) + \frac{-27}{32} = 0 \]

3. Multiply the fractions:
\[ \frac{1}{8} \cdot \frac{7}{12} x^2 = \frac{7}{96} x^2 \]

4. Substitute and solve:
\[ \frac{7}{96} x^2 - \frac{27}{32} = 0 \]

5. Move \(\frac{27}{32}\) to the other side:
\[ \frac{7}{96} x^2 = \frac{27}{32} \]

6. Multiply both sides by 96 to clear the fraction:
\[ 7x^2 = 27 \cdot 3 \]
\[ 7x^2 = 81 \]

7. Divide by 7:
\[ x^2 = \frac{81}{7} \]

8. Take the square root of both sides:
\[ x = \pm \sqrt{\frac{81}{7}} \]
\[ x = \pm \frac{9}{\sqrt{7}} \]
\[ x = \pm \frac{9\sqrt{7}}{7} \]

### Equation g:
\[ \frac{1}{7}x + \left(\frac{3}{5}x - 0.75x\right) = \frac{-1}{35} \]

1. Simplify inside the parentheses:
\[ \frac{3}{5}x - 0.75x \]

Convert \(0.75\) to a fraction:
\[ 0.75 = \frac{3}{4} \]

So,
\[ \frac{3}{5}x - \frac{3}{4}x \]

Find a common denominator (20):
\[ \frac{12}{20}x - \frac{15}{20}x = \frac{-3}{20}x \]

2. Substitute back into the equation:
\[ \frac{1}{7}x + \frac{-3}{20}x = \frac{-1}{35} \]

3. Find a common denominator for the fractions on the left side (140):
\[ \frac{20}{140}x - \frac{21}{140}x = \frac{-1}{35} \]

4. Combine the fractions:
\[ \frac{-1}{140}x = \frac{-1}{35} \]

5. Multiply both sides by 140 to clear the fraction:
\[ -x = -4 \]

6. Solve for \(x\):
\[ x = 4 \]

### Equation h:
\[ \frac{1}{5}x - \left(0.25x - \frac{1}{3}x\right) + \frac{-8}{25} = 0 \]

1. Simplify inside the parentheses:
\[ 0.25x - \frac{1}{3}x \]

Convert \(0.25\) to a fraction:
\[ 0.25 = \frac{1}{4} \]

So,
\[ \frac{1}{4}x - \frac{1}{3}x \]

Find a common denominator (12):
\[ \frac{3}{12}x - \frac{4}{12}x = \frac{-1}{12}x \]

2. Substitute back into the equation:
\[ \frac{1}{5}x - \frac{-1}{12}x + \frac{-8}{25} = 0 \]

3. Combine the fractions:
\[ \frac{1}{5}x + \frac{1}{12}x = \frac{8}{25} \]

Find a common denominator for the fractions on the left side (60):
\[ \frac{12}{60}x + \frac{5}{60}x = \frac{8}{25} \]

4. Combine the fractions:
\[ \frac{17}{60}x = \frac{8}{25} \]

5. Cross-multiply to solve for \(x\):
\[ 17 \cdot 25 x = 8 \cdot 60 \]
\[ 425x = 480 \]

6. Divide by 425:
\[ x = \frac{480}{425} \]
\[ x = \frac{96}{85} \]

So, the solutions are:
- For equation e: \( x = \pm \frac{9\sqrt{7}}{7} \)
- For equation g: \( x = 4 \)
- For equation h: \( x = \frac{96}{85} \)