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Simplifying 2c + 3(4c + -9) = 4(3 + -5c) Reorder the terms: 2c + 3(-9 + 4c) = 4(3 + -5c) 2c + (-9 * 3 + 4c * 3) = 4(3 + -5c) 2c + (-27 + 12c) = 4(3 + -5c) Reorder the terms: -27 + 2c + 12c = 4(3 + -5c) Combine like terms: 2c + 12c = 14c -27 + 14c = 4(3 + -5c) -27 + 14c = (3 * 4 + -5c * 4) -27 + 14c = (12 + -20c) Solving -27 + 14c = 12 + -20c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '20c' to each side of the equation. -27 + 14c + 20c = 12 + -20c + 20c Combine like terms: 14c + 20c = 34c -27 + 34c = 12 + -20c + 20c Combine like terms: -20c + 20c = 0 -27 + 34c = 12 + 0 -27 + 34c = 12 Add '27' to each side of the equation. -27 + 27 + 34c = 12 + 27 Combine like terms: -27 + 27 = 0 0 + 34c = 12 + 27 34c = 12 + 27 Combine like terms: 12 + 27 = 39 34c = 39 Divide each side by '34'. c = 1.147058824 Simplifying c = 1.147058824
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