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Simplifying 13(4c + -1) + -14 = 50c + 13 Reorder the terms: 13(-1 + 4c) + -14 = 50c + 13 (-1 * 13 + 4c * 13) + -14 = 50c + 13 (-13 + 52c) + -14 = 50c + 13 Reorder the terms: -13 + -14 + 52c = 50c + 13 Combine like terms: -13 + -14 = -27 -27 + 52c = 50c + 13 Reorder the terms: -27 + 52c = 13 + 50c Solving -27 + 52c = 13 + 50c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-50c' to each side of the equation. -27 + 52c + -50c = 13 + 50c + -50c Combine like terms: 52c + -50c = 2c -27 + 2c = 13 + 50c + -50c Combine like terms: 50c + -50c = 0 -27 + 2c = 13 + 0 -27 + 2c = 13 Add '27' to each side of the equation. -27 + 27 + 2c = 13 + 27 Combine like terms: -27 + 27 = 0 0 + 2c = 13 + 27 2c = 13 + 27 Combine like terms: 13 + 27 = 40 2c = 40 Divide each side by '2'. c = 20 Simplifying c = 20
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