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Simplifying 3c + 5 = c + 17 Reorder the terms: 5 + 3c = c + 17 Reorder the terms: 5 + 3c = 17 + c Solving 5 + 3c = 17 + c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-1c' to each side of the equation. 5 + 3c + -1c = 17 + c + -1c Combine like terms: 3c + -1c = 2c 5 + 2c = 17 + c + -1c Combine like terms: c + -1c = 0 5 + 2c = 17 + 0 5 + 2c = 17 Add '-5' to each side of the equation. 5 + -5 + 2c = 17 + -5 Combine like terms: 5 + -5 = 0 0 + 2c = 17 + -5 2c = 17 + -5 Combine like terms: 17 + -5 = 12 2c = 12 Divide each side by '2'. c = 6 Simplifying c = 6
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