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Simplifying 3(8c + 3) = -1(3c + -387) Reorder the terms: 3(3 + 8c) = -1(3c + -387) (3 * 3 + 8c * 3) = -1(3c + -387) (9 + 24c) = -1(3c + -387) Reorder the terms: 9 + 24c = -1(-387 + 3c) 9 + 24c = (-387 * -1 + 3c * -1) 9 + 24c = (387 + -3c) Solving 9 + 24c = 387 + -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. 9 + 24c + 3c = 387 + -3c + 3c Combine like terms: 24c + 3c = 27c 9 + 27c = 387 + -3c + 3c Combine like terms: -3c + 3c = 0 9 + 27c = 387 + 0 9 + 27c = 387 Add '-9' to each side of the equation. 9 + -9 + 27c = 387 + -9 Combine like terms: 9 + -9 = 0 0 + 27c = 387 + -9 27c = 387 + -9 Combine like terms: 387 + -9 = 378 27c = 378 Divide each side by '27'. c = 14 Simplifying c = 14
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