The given inequality is:

\[
-7h - 7 < 7h - 6
\]

### Step-by-step solution:

1. **Move the terms involving \( h \) to one side** by adding \( 7h \) to both sides:

\[
-7h + 7h - 7 < 7h + 7h - 6
\]
This simplifies to:

\[
-7 < 14h - 6
\]

2. **Move the constant terms to the other side** by adding \( 6 \) to both sides:

\[
-7 + 6 < 14h
\]
Simplifying:

\[
-1 < 14h
\]

3. **Solve for \( h \)** by dividing both sides by 14:

\[
\frac{-1}{14} < h
\]

Thus, the solution is:

\[
h > \frac{-1}{14}
\]

### Final Answer:
\[
h > -\frac{1}{14}
\]

Would you like more details or have any questions about this solution?

Here are 5 related questions:
1. How do we solve compound inequalities?
2. What happens when you multiply or divide by a negative in an inequality?
3. How do we represent the solution on a number line?
4. Can inequalities have multiple solutions?
5. How do absolute values affect inequalities?

**Tip:** Always remember, when multiplying or dividing both sides of an inequality by a negative number, reverse the inequality sign.

This step-by-step guide explains how to solve the linear inequality −7h − 7 < 7h − 6. Learn the key concepts of solving linear inequalities, including isolating the variable and simplifying expressions. Suitable for students in Grades 8-10.

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