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This worksheet contains a set of simple linear equations to solve for each variable. Here is a solution guide for each equation:

1. **32 / c = 4**  
   Solution: Multiply both sides by \( c \) and then divide by 4.

2. **40 / x = 5**  
   Solution: Multiply both sides by \( x \), then divide by 5.

3. **6 = 5 + p**  
   Solution: Subtract 5 from both sides.

4. **8k = 2 + 6k**  
   Solution: Subtract \( 6k \) from both sides, then divide by 2.

5. **36 = 3x - 6**  
   Solution: Add 6 to both sides, then divide by 3.

6. **28 / y = 4**  
   Solution: Multiply both sides by \( y \), then divide by 4.

7. **50 = 2z + 9**  
   Solution: Subtract 9 from both sides, then divide by 2.

8. **9 + 3m = 12**  
   Solution: Subtract 9 from both sides, then divide by 3.

9. **4 = 2x - 10**  
   Solution: Add 10 to both sides, then divide by 2.

10. **15 = y - 9**  
    Solution: Add 9 to both sides.

11. **21 = 3h + 9**  
    Solution: Subtract 9 from both sides, then divide by 3.

12. **20 / x = 5**  
    Solution: Multiply both sides by \( x \), then divide by 5.

13. **c + 4 = 7**  
    Solution: Subtract 4 from both sides.

14. **6y + 4 = 16**  
    Solution: Subtract 4 from both sides, then divide by 6.

15. **2c + 5 = 13**  
    Solution: Subtract 5 from both sides, then divide by 2.

16. **70 = 7m + 7**  
    Solution: Subtract 7 from both sides, then divide by 7.

17. **40 = 4y + 8**  
    Solution: Subtract 8 from both sides, then divide by 4.

18. **22 = 8n - 1**  
    Solution: Add 1 to both sides, then divide by 8.

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**Related Questions:**

1. What steps are required to isolate a variable in a linear equation?
2. How can you verify the solution to a simple linear equation?
3. What are the differences between equations with variables in the numerator versus those in the denominator?
4. How do coefficients affect the solution process in linear equations?
5. What are common pitfalls when solving linear equations?

**Tip:** When solving linear equations, always perform the inverse operation to isolate the variable, such as adding to counter subtraction or dividing to counter multiplication.

Solve each simple linear equation for the variable in each equation from the provided worksheet.

This worksheet provides practice with simple linear equations, helping students learn to isolate variables in equations using fundamental algebraic operations. Suitable for students in Grades 6-8.

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