https://file.aiquickdraw.com/mathbot/file/1726888593008y5c9o3om.jpg

The equation presented in the image is:

\[
\frac{a - b}{7} = L
\]

We are asked to solve for \( b \). Let's solve it step by step.

### Step 1: Multiply both sides of the equation by 7 to eliminate the denominator:

\[
a - b = 7L
\]

### Step 2: Rearrange the equation to isolate \( b \):

\[
b = a - 7L
\]

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

\[
b = a - 7L
\]

Would you like more details or have any questions about the steps?

Here are some related questions you might find useful:

1. What if the equation was \( \frac{a + b}{7} = L \)?
2. How do you solve for \( a \) instead of \( b \) in the given equation?
3. What happens if the denominator was different, such as \( 5 \) instead of \( 7 \)?
4. How can this equation be extended to solve for \( b \) if there was an additional constant term?
5. What if \( L \) were a function of another variable, like \( L(x) \)?

**Tip:** Always try to isolate the variable you need to solve for by undoing operations in reverse order (e.g., addition, then multiplication).

Solve for b in the equation (a - b)/7 = L.

Learn how to solve the equation (a - b)/7 = L for b with step-by-step guidance. This problem involves basic algebraic manipulation, making it suitable for students in Grades 6-8.

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