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The equation given is:

\[
\frac{b}{15} + z = n
\]

To solve for \( b \), we need to isolate \( b \) on one side of the equation. Here are the steps:

1. Subtract \( z \) from both sides:
   \[
   \frac{b}{15} = n - z
   \]

2. Multiply both sides by 15 to solve for \( b \):
   \[
   b = 15(n - z)
   \]

Thus, the solution for \( b \) is:

\[
b = 15(n - z)
\]

Would you like a more detailed explanation, or do you have any other questions about this?

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Here are 5 related questions to explore further:

1. What happens if \( z \) or \( n \) is a negative number?
2. How would the solution change if the denominator was a different number, like 20 instead of 15?
3. What is the geometric interpretation of this equation if \( b \), \( n \), and \( z \) represent variables in a real-world scenario?
4. Can you solve for \( z \) instead of \( b \)?
5. How would you express \( b \) if the equation had \( \frac{b}{k} + z = n \), where \( k \) is a constant?

**Tip**: When isolating a variable in an equation, always perform the inverse operation (like subtracting or multiplying) to both sides to maintain equality.

Learn how to solve the linear equation (b / 15) + z = n by isolating the variable b. This algebraic problem involves basic inverse operations and is suitable for students in Grades 6-8.

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