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Simplifying 28(2c + 3) = 2(c + 5) + c Reorder the terms: 28(3 + 2c) = 2(c + 5) + c (3 * 28 + 2c * 28) = 2(c + 5) + c (84 + 56c) = 2(c + 5) + c Reorder the terms: 84 + 56c = 2(5 + c) + c 84 + 56c = (5 * 2 + c * 2) + c 84 + 56c = (10 + 2c) + c Combine like terms: 2c + c = 3c 84 + 56c = 10 + 3c Solving 84 + 56c = 10 + 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. 84 + 56c + -3c = 10 + 3c + -3c Combine like terms: 56c + -3c = 53c 84 + 53c = 10 + 3c + -3c Combine like terms: 3c + -3c = 0 84 + 53c = 10 + 0 84 + 53c = 10 Add '-84' to each side of the equation. 84 + -84 + 53c = 10 + -84 Combine like terms: 84 + -84 = 0 0 + 53c = 10 + -84 53c = 10 + -84 Combine like terms: 10 + -84 = -74 53c = -74 Divide each side by '53'. c = -1.396226415 Simplifying c = -1.396226415
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