To solve for \( b \) in the equation \( a = \frac{1}{5}(b + c - d) \), follow these steps:

1. **Multiply both sides by 5** to eliminate the fraction:
   \[
   5a = b + c - d
   \]

2. **Isolate \( b \)** by rearranging the equation:
   \[
   b = 5a + d - c
   \]

Thus, the solution for \( b \) is:
\[
b = 5a + d - c
\]

If you have any questions or need further details, feel free to ask! Here are some related questions you might consider:

1. What values for \( a \), \( c \), and \( d \) would you like to use to find \( b \)?
2. How does changing the value of \( a \) affect \( b \)?
3. Can you provide an example with specific numbers for \( a \), \( c \), and \( d\)?
4. What if \( d \) is not constant but a function of \( c \)?
5. How would you graph the relationship between \( b \) and \( a \)? 

**Tip:** When rearranging equations, it's helpful to isolate the variable you're solving for as early as possible to simplify calculations.

Discover how to solve for b in the equation a = 1/5(b + c - d) with a step-by-step guide. This problem illustrates key algebraic principles and provides insights into variable manipulation. Suitable for students in Grades 7-9.

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