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Simplifying 5c + 9 = 3c + 29 Reorder the terms: 9 + 5c = 3c + 29 Reorder the terms: 9 + 5c = 29 + 3c Solving 9 + 5c = 29 + 3c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-3c' to each side of the equation. 9 + 5c + -3c = 29 + 3c + -3c Combine like terms: 5c + -3c = 2c 9 + 2c = 29 + 3c + -3c Combine like terms: 3c + -3c = 0 9 + 2c = 29 + 0 9 + 2c = 29 Add '-9' to each side of the equation. 9 + -9 + 2c = 29 + -9 Combine like terms: 9 + -9 = 0 0 + 2c = 29 + -9 2c = 29 + -9 Combine like terms: 29 + -9 = 20 2c = 20 Divide each side by '2'. c = 10 Simplifying c = 10
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