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Simplifying 22c + 5c + 17 = 17c + 8c + 5c + 17 Reorder the terms: 17 + 22c + 5c = 17c + 8c + 5c + 17 Combine like terms: 22c + 5c = 27c 17 + 27c = 17c + 8c + 5c + 17 Reorder the terms: 17 + 27c = 17 + 17c + 8c + 5c Combine like terms: 17c + 8c = 25c 17 + 27c = 17 + 25c + 5c Combine like terms: 25c + 5c = 30c 17 + 27c = 17 + 30c Add '-17' to each side of the equation. 17 + -17 + 27c = 17 + -17 + 30c Combine like terms: 17 + -17 = 0 0 + 27c = 17 + -17 + 30c 27c = 17 + -17 + 30c Combine like terms: 17 + -17 = 0 27c = 0 + 30c 27c = 30c Solving 27c = 30c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-30c' to each side of the equation. 27c + -30c = 30c + -30c Combine like terms: 27c + -30c = -3c -3c = 30c + -30c Combine like terms: 30c + -30c = 0 -3c = 0 Divide each side by '-3'. c = 0 Simplifying c = 0
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