Let's solve the equation:

\[
-7b - 12 = -61
\]

### Step-by-Step Solution:

1. **Add 12 to both sides** of the equation to isolate the term involving \(b\):

\[
-7b - 12 + 12 = -61 + 12
\]

This simplifies to:

\[
-7b = -49
\]

2. **Divide both sides** by \(-7\) to solve for \(b\):

\[
b = \frac{-49}{-7} = 7
\]

### Final Answer:
\[
b = 7
\]

Would you like more details or have any questions?

### Related Questions:
1. What if the equation was \(7b - 12 = -61\) instead of \(-7b - 12 = -61\)?
2. How would you solve the equation \(-7b + 12 = -61\)?
3. What happens if there are decimals in the equation, like \(-7b - 12.5 = -61\)?
4. How do you solve an equation where the variable appears on both sides, such as \(-7b - 12 = 3b - 61\)?
5. What if the equation was quadratic, like \(-7b^2 - 12 = -61\)?

### Tip:
When dealing with equations, always perform the same operation on both sides to maintain equality.

Learn how to solve the equation -7b - 12 = -61 with a detailed step-by-step solution. This problem involves basic algebraic equations and is suitable for students in Grades 6-8.

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