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The image displays a worksheet titled "Simple Linear Equations (C)," with instructions to "Solve for each variable." Here’s a breakdown of the linear equations presented on the worksheet:

1. \(\frac{32}{8} = d + 4\)
2. \(\frac{49}{7} = 2 + 11\)
3. \(6c = 42\)
4. \(b - 3 = 4\)
5. \(7x + 1 = 15\)
6. \(\frac{28}{4} = 6\)
7. \(30 = x - 3\)
8. \(5y = 30\)
9. \(6 + 19 = 12\)
10. \(6y = 42\)
11. \(9x = 12\)
12. \(7y + 5 = 10\)
13. \(21 = 7a + 13\)
14. \(6 = c + 9\)
15. \(4y = 16\)
16. \(6x + 3 = 15\)
17. \(3 + m = 15\)
18. \(7x = 35\)
19. \(\frac{10}{5} = x + 2\)
20. \(\frac{27}{9} = 5 - 1\)

Would you like a solution for each equation, or would you prefer to focus on specific ones?

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Here are some additional questions to consider:

1. How do you isolate the variable in a simple equation involving addition or subtraction?
2. What steps are required to solve a multiplication-based linear equation?
3. How do you handle equations with fractions?
4. Can you explain the importance of balancing both sides of an equation?
5. What is the method to check if a solution to a linear equation is correct?

**Tip:** Always perform the same operation on both sides of an equation to maintain balance.

Solve for each variable in the set of simple linear equations displayed on the worksheet titled 'Simple Linear Equations (C)'.

Explore solutions to a set of simple linear equations for Grade 7-8 students. This worksheet covers core algebraic concepts, helping students understand variable isolation through addition, subtraction, multiplication, and division.

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