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To solve the equation \(-7j - 14j + 9 = -12\), follow these steps:

1. **Combine like terms**:
   \[
   -7j - 14j = -21j
   \]
   So the equation becomes:
   \[
   -21j + 9 = -12
   \]

2. **Isolate the variable term**:
   Subtract 9 from both sides to move the constant term:
   \[
   -21j = -12 - 9
   \]
   Simplifying the right-hand side:
   \[
   -21j = -21
   \]

3. **Solve for \( j \)**:
   Divide both sides by \(-21\) to solve for \( j \):
   \[
   j = \frac{-21}{-21}
   \]
   Simplifying gives:
   \[
   j = 1
   \]

So, \( j = 1 \).

Would you like more details or have any other questions?

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Here are five questions related to this problem:

1. How do you combine like terms in a linear equation?
2. What steps do you take to isolate a variable in an equation?
3. How do you handle negative signs when solving equations?
4. Can you explain the importance of keeping equations balanced when solving for a variable?
5. How would you check your solution to ensure it's correct?

**Tip:** Always double-check your

Learn how to solve the multi-step linear equation -7j - 14j + 9 = -12. This guide covers key algebraic concepts, including combining like terms and isolating variables, suitable for students in Grades 8-9.

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