The equation is:

\[
-18 + j = 20 - j
\]

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

1. Add \( j \) to both sides to eliminate \( j \) on the right:
   \[
   -18 + j + j = 20 - j + j
   \]
   This simplifies to:
   \[
   -18 + 2j = 20
   \]

2. Add 18 to both sides to move the constant to the right:
   \[
   -18 + 18 + 2j = 20 + 18
   \]
   Simplifying:
   \[
   2j = 38
   \]

3. Divide both sides by 2 to isolate \( j \):
   \[
   j = \frac{38}{2}
   \]
   \[
   j = 19
   \]

So, the solution is:
\[
j = 19
\]

Do you want any further details, or do you have questions?

Here are 5 related questions you might find interesting:
1. How do you solve equations with variables on both sides?
2. What happens when you multiply both sides of an equation by a negative number?
3. Can you explain how to solve equations with fractions?
4. What are the steps to solve systems of equations?
5. How do you check if the solution to an equation is correct?

**Tip:** Always aim to isolate the variable on one side by reversing operations.

Explore how to solve the linear equation -18 + j = 20 - j with a clear, step-by-step solution. Learn algebraic techniques like isolating variables and applying equality properties. Perfect for students in Grades 6-8 looking to strengthen their equation-solving skills.

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