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Evaluate and solve for the variable and show your work.

x – 7 = 4 + 10
12 – c = 8
–z = 8
7 = 5b
f + 4 = –6
7 = y – 2
–12 = x + 4
3y = –18

User Jfbarrois
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Final answer:

To solve each equation and find the value of the variable, perform the necessary operations to isolate the variable on one side of the equation.

Step-by-step explanation:

To solve the equation x - 7 = 4, we need to isolate the variable x. We can do this by adding 7 to both sides of the equation: x - 7 + 7 = 4 + 7. This simplifies to x = 11.

To solve the equation 1012 - c = 8, we need to isolate the variable c. We can do this by subtracting 8 from both sides of the equation: 1012 - c - 8 = 8 - 8. This simplifies to 1012 - c = 0.

To solve the equation 87 = 5bf + 4, we need to isolate the variable bf. We can do this by subtracting 4 from both sides of the equation: 87 - 4 = 5bf + 4 - 4. This simplifies to 83 = 5bf.

To solve the equation -67 = y - 2, we need to isolate the variable y. We can do this by adding 2 to both sides of the equation: -67 + 2 = y - 2 + 2. This simplifies to -65 = y.

To solve the equation -12 = x + 43, we need to isolate the variable x. We can do this by subtracting 43 from both sides of the equation: -12 - 43 = x + 43 - 43. This simplifies to -55 = x.

To solve the equation y = -18, there is no variable to solve for since the value of y is already given. Therefore, y = -18.

User Sinatr
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