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Simplifying 22 = 5c + 3c + -1c + 8 Reorder the terms: 22 = 8 + 5c + 3c + -1c Combine like terms: 5c + 3c = 8c 22 = 8 + 8c + -1c Combine like terms: 8c + -1c = 7c 22 = 8 + 7c Solving 22 = 8 + 7c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-7c' to each side of the equation. 22 + -7c = 8 + 7c + -7c Combine like terms: 7c + -7c = 0 22 + -7c = 8 + 0 22 + -7c = 8 Add '-22' to each side of the equation. 22 + -22 + -7c = 8 + -22 Combine like terms: 22 + -22 = 0 0 + -7c = 8 + -22 -7c = 8 + -22 Combine like terms: 8 + -22 = -14 -7c = -14 Divide each side by '-7'. c = 2 Simplifying c = 2
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