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Simplifying 4c + 27 = 2c + 57 Reorder the terms: 27 + 4c = 2c + 57 Reorder the terms: 27 + 4c = 57 + 2c Solving 27 + 4c = 57 + 2c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-2c' to each side of the equation. 27 + 4c + -2c = 57 + 2c + -2c Combine like terms: 4c + -2c = 2c 27 + 2c = 57 + 2c + -2c Combine like terms: 2c + -2c = 0 27 + 2c = 57 + 0 27 + 2c = 57 Add '-27' to each side of the equation. 27 + -27 + 2c = 57 + -27 Combine like terms: 27 + -27 = 0 0 + 2c = 57 + -27 2c = 57 + -27 Combine like terms: 57 + -27 = 30 2c = 30 Divide each side by '2'. c = 15 Simplifying c = 15
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