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Simplifying 27 + -3c = -8(2c + -9) Reorder the terms: 27 + -3c = -8(-9 + 2c) 27 + -3c = (-9 * -8 + 2c * -8) 27 + -3c = (72 + -16c) Solving 27 + -3c = 72 + -16c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '16c' to each side of the equation. 27 + -3c + 16c = 72 + -16c + 16c Combine like terms: -3c + 16c = 13c 27 + 13c = 72 + -16c + 16c Combine like terms: -16c + 16c = 0 27 + 13c = 72 + 0 27 + 13c = 72 Add '-27' to each side of the equation. 27 + -27 + 13c = 72 + -27 Combine like terms: 27 + -27 = 0 0 + 13c = 72 + -27 13c = 72 + -27 Combine like terms: 72 + -27 = 45 13c = 45 Divide each side by '13'. c = 3.461538462 Simplifying c = 3.461538462
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