The equation is:

\[
\frac{j - 19}{6} = 7
\]

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

1. Multiply both sides by 6 to eliminate the denominator:
   \[
   j - 19 = 7 \times 6
   \]
   \[
   j - 19 = 42
   \]

2. Add 19 to both sides to solve for \( j \):
   \[
   j = 42 + 19
   \]
   \[
   j = 61
   \]

So, \( j = 61 \).

Would you like further clarification or more details on any step?

Here are 5 related questions:
1. How do you solve multi-step equations?
2. What happens if the equation has variables on both sides?
3. How do you solve equations with fractions?
4. How can you verify the solution to an equation?
5. What are inverse operations in algebra?

**Tip:** Always check your solution by substituting it back into the original equation to ensure it works!

Understand how to solve the linear equation j − 19 / 6 = 7 with a clear, step-by-step guide. This problem focuses on key algebraic concepts such as solving linear equations and applying the properties of equality. Ideal for students in Grades 6-8.

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