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The equation provided is:

\[
\frac{b}{5} - 27 = -21
\]

To solve for \( b \), follow these steps:

1. **Add 27 to both sides** of the equation to isolate the term with \( b \):
   \[
   \frac{b}{5} = -21 + 27
   \]
   \[
   \frac{b}{5} = 6
   \]

2. **Multiply both sides by 5** to solve for \( b \):
   \[
   b = 6 \times 5
   \]
   \[
   b = 30
   \]

The solution is:
\[
b = 30
\]

Would you like more details or have any questions?

Here are some related questions you might find useful:
1. How do you solve equations involving fractions?
2. What are the common strategies for isolating a variable?
3. How can you check if your solution to an equation is correct?
4. How do you solve multi-step equations with more complex fractions?
5. What are other methods to rearrange equations?

**Tip:** When solving equations, always perform the same operation on both sides to keep the equation balanced.

Learn how to solve the linear equation b / 5 - 27 = -21 with a detailed step-by-step explanation. This example covers key algebraic concepts, including isolating the variable and working with fractions. Suitable for students in Grades 6-8.

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