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Simplifying 5c + 17 = 9(-1c + 12 + 3c) Reorder the terms: 17 + 5c = 9(-1c + 12 + 3c) Reorder the terms: 17 + 5c = 9(12 + -1c + 3c) Combine like terms: -1c + 3c = 2c 17 + 5c = 9(12 + 2c) 17 + 5c = (12 * 9 + 2c * 9) 17 + 5c = (108 + 18c) Solving 17 + 5c = 108 + 18c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-18c' to each side of the equation. 17 + 5c + -18c = 108 + 18c + -18c Combine like terms: 5c + -18c = -13c 17 + -13c = 108 + 18c + -18c Combine like terms: 18c + -18c = 0 17 + -13c = 108 + 0 17 + -13c = 108 Add '-17' to each side of the equation. 17 + -17 + -13c = 108 + -17 Combine like terms: 17 + -17 = 0 0 + -13c = 108 + -17 -13c = 108 + -17 Combine like terms: 108 + -17 = 91 -13c = 91 Divide each side by '-13'. c = -7 Simplifying c = -7
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