To solve the equation \(12.6j + 8 = 10.2j + 4.4\) for \(j\), follow these steps:

1. **Move the terms involving \(j\) to one side of the equation:**

   Subtract \(10.2j\) from both sides:

   \[
   12.6j - 10.2j + 8 = 4.4
   \]

   Simplify:

   \[
   2.4j + 8 = 4.4
   \]

2. **Move the constant terms to the other side:**

   Subtract 8 from both sides:

   \[
   2.4j = 4.4 - 8
   \]

   Simplify:

   \[
   2.4j = -3.6
   \]

3. **Solve for \(j\):**

   Divide both sides by 2.4:

   \[
   j = \frac{-3.6}{2.4}
   \]

   Simplify:

   \[
   j = -1.5
   \]

So, the solution is \(j = -1.5\).

Would you like more details or have any questions about this solution?

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Here are five related questions for practice:

1. Solve \(5j + 3 = 2j + 7\) for \(j\).
2. Solve \(15j - 4 = 10j + 6\) for \(j\).
3. Solve \(7.2j + 1.8 = 5.6j + 3.4\) for \(j\).
4. Solve \(9j - 5 = 3j + 11\) for \(j\).
5. Solve \(2.4j + 9.6 = 3.6j - 4.8\) for \(j\).

**Tip:** Always simplify the equation step by step to isolate the variable.

Learn how to solve the linear equation 12.6j + 8 = 10.2j + 4.4 for j with a step-by-step solution. This problem involves basic algebraic concepts like linear equations and variable isolation. Suitable for students in Grades 7-9.

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