To solve for \( b \) in the equation:

\[
\frac{b}{2} + 9.1 = 13.1
\]

1. Start by isolating \(\frac{b}{2}\) by subtracting 9.1 from both sides:
   \[
   \frac{b}{2} = 13.1 - 9.1
   \]
   \[
   \frac{b}{2} = 4
   \]

2. Now, eliminate the fraction by multiplying both sides by 2:
   \[
   b = 4 \times 2
   \]
   \[
   b = 8
   \]

So, the solution is:
\[
b = 8
\]

Would you like further details or have any questions?

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### Related Questions:
1. How would the solution change if the constant was negative, like \( b/2 + 9.1 = -13.1 \)?
2. What steps would you take if the fraction was in the form \( \frac{b}{3} + 9.1 = 13.1 \)?
3. How do you verify if \( b = 8 \) is indeed the correct solution?
4. What if \( b \) is multiplied by 2 instead, as in \( 2b + 9.1 = 13.1 \)?
5. How does this solution change if we have \( b/2 - 9.1 = 13.1 \) instead?

### Tip:
When solving equations, isolating terms by systematically adding, subtracting, multiplying, or dividing helps simplify each step efficiently.

Learn how to solve the linear equation b/2 + 9.1 = 13.1 with a step-by-step solution. This problem demonstrates algebraic techniques to isolate variables and simplify equations, suitable for students in Grades 6-8.

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