https://file.aiquickdraw.com/mathbot/file/1725483385700loisfldg.jpg

The equation provided is:

\[
\frac{b - 6}{4} = 2
\]

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

### Step 1: Eliminate the denominator
Multiply both sides of the equation by 4 to get rid of the denominator:

\[
b - 6 = 2 \times 4
\]

\[
b - 6 = 8
\]

### Step 2: Solve for \( b \)
Now, add 6 to both sides to isolate \( b \):

\[
b = 8 + 6
\]

\[
b = 14
\]

Thus, the solution is \( b = 14 \).

Would you like further details on any of the steps? Here are some related questions you might want to explore:

1. How do you handle equations with fractions?
2. What happens when the variable appears on both sides of the equation?
3. How would you solve this if the fraction was more complex?
4. Can you solve equations with two variables?
5. How do you graph equations like this one?

**Tip:** When solving equations with fractions, multiplying both sides by the denominator is an efficient way to simplify the problem.

Learn how to solve the linear equation (b - 6)/4 = 2 by following a step-by-step solution. This problem covers key algebraic concepts and is suitable for students in Grades 8-10.

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