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Simplifying c + 38 + c + 29 = 29c + 40 Reorder the terms: 38 + 29 + c + c = 29c + 40 Combine like terms: 38 + 29 = 67 67 + c + c = 29c + 40 Combine like terms: c + c = 2c 67 + 2c = 29c + 40 Reorder the terms: 67 + 2c = 40 + 29c Solving 67 + 2c = 40 + 29c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-29c' to each side of the equation. 67 + 2c + -29c = 40 + 29c + -29c Combine like terms: 2c + -29c = -27c 67 + -27c = 40 + 29c + -29c Combine like terms: 29c + -29c = 0 67 + -27c = 40 + 0 67 + -27c = 40 Add '-67' to each side of the equation. 67 + -67 + -27c = 40 + -67 Combine like terms: 67 + -67 = 0 0 + -27c = 40 + -67 -27c = 40 + -67 Combine like terms: 40 + -67 = -27 -27c = -27 Divide each side by '-27'. c = 1 Simplifying c = 1
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