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Simplifying [5(c + 1)] = (3c + -14) Reorder the terms: [5(1 + c)] = (3c + -14) [(1 * 5 + c * 5)] = (3c + -14) [(5 + 5c)] = (3c + -14) [5 + 5c] = (3c + -14) Remove brackets around [5 + 5c] 5 + 5c = (3c + -14) Reorder the terms: 5 + 5c = (-14 + 3c) Remove parenthesis around (-14 + 3c) 5 + 5c = -14 + 3c Solving 5 + 5c = -14 + 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. 5 + 5c + -3c = -14 + 3c + -3c Combine like terms: 5c + -3c = 2c 5 + 2c = -14 + 3c + -3c Combine like terms: 3c + -3c = 0 5 + 2c = -14 + 0 5 + 2c = -14 Add '-5' to each side of the equation. 5 + -5 + 2c = -14 + -5 Combine like terms: 5 + -5 = 0 0 + 2c = -14 + -5 2c = -14 + -5 Combine like terms: -14 + -5 = -19 2c = -19 Divide each side by '2'. c = -9.5 Simplifying c = -9.5
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