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Simplifying 3(6c + -9) = 29 + -2c Reorder the terms: 3(-9 + 6c) = 29 + -2c (-9 * 3 + 6c * 3) = 29 + -2c (-27 + 18c) = 29 + -2c Solving -27 + 18c = 29 + -2c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '2c' to each side of the equation. -27 + 18c + 2c = 29 + -2c + 2c Combine like terms: 18c + 2c = 20c -27 + 20c = 29 + -2c + 2c Combine like terms: -2c + 2c = 0 -27 + 20c = 29 + 0 -27 + 20c = 29 Add '27' to each side of the equation. -27 + 27 + 20c = 29 + 27 Combine like terms: -27 + 27 = 0 0 + 20c = 29 + 27 20c = 29 + 27 Combine like terms: 29 + 27 = 56 20c = 56 Divide each side by '20'. c = 2.8 Simplifying c = 2.8
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