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Simplifying 19(4c + -1) + -8 = 74c + 19 Reorder the terms: 19(-1 + 4c) + -8 = 74c + 19 (-1 * 19 + 4c * 19) + -8 = 74c + 19 (-19 + 76c) + -8 = 74c + 19 Reorder the terms: -19 + -8 + 76c = 74c + 19 Combine like terms: -19 + -8 = -27 -27 + 76c = 74c + 19 Reorder the terms: -27 + 76c = 19 + 74c Solving -27 + 76c = 19 + 74c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-74c' to each side of the equation. -27 + 76c + -74c = 19 + 74c + -74c Combine like terms: 76c + -74c = 2c -27 + 2c = 19 + 74c + -74c Combine like terms: 74c + -74c = 0 -27 + 2c = 19 + 0 -27 + 2c = 19 Add '27' to each side of the equation. -27 + 27 + 2c = 19 + 27 Combine like terms: -27 + 27 = 0 0 + 2c = 19 + 27 2c = 19 + 27 Combine like terms: 19 + 27 = 46 2c = 46 Divide each side by '2'. c = 23 Simplifying c = 23
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