Solve the following formula for the specified variable.  
 K=Q+bn for b

b={ }
  
 ​(Simplify your​ answer.)


To solve the equation \( K = Q + bn \) for the variable \( b \), follow these steps:

1. **Isolate the term containing \( b \)**: 
   \[
   bn = K - Q
   \]

2. **Solve for \( b \)** by dividing both sides by \( n \):
   \[
   b = \frac{K - Q}{n}
   \]

So, the simplified answer is:
\[
b = \frac{K - Q}{n}
\]

Would you like more details or have any questions?

Here are 5 related questions you might find useful:

1. How would you solve \( K = Q + bn \) for \( n \) instead of \( b \)?
2. What if \( n = 0 \)? How would the solution for \( b \) change?
3. Can you find \( b \) if you are given specific values for \( K \), \( Q \), and \( n \)?
4. What does the formula \( b = \frac{K - Q}{n} \) imply about the relationship between \( K \), \( Q \), and \( b \)?
5. How would you graph the relationship between \( b \) and \( n \) using the equation \( b = \frac{K - Q}{n} \)?

**Tip:** Always double-check the isolated term to ensure you've correctly manipulated the equation.

Learn how to solve the equation K = Q + bn for the variable b with a step-by-step solution. This problem involves isolating variables in a linear equation and solving for b. Suitable for students in Grades 7-9 studying algebra.

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