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Simplifying 12c + -3c + 9 = 3(4 + 7c) + -1c Reorder the terms: 9 + 12c + -3c = 3(4 + 7c) + -1c Combine like terms: 12c + -3c = 9c 9 + 9c = 3(4 + 7c) + -1c 9 + 9c = (4 * 3 + 7c * 3) + -1c 9 + 9c = (12 + 21c) + -1c Combine like terms: 21c + -1c = 20c 9 + 9c = 12 + 20c Solving 9 + 9c = 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. 9 + 9c + -20c = 12 + 20c + -20c Combine like terms: 9c + -20c = -11c 9 + -11c = 12 + 20c + -20c Combine like terms: 20c + -20c = 0 9 + -11c = 12 + 0 9 + -11c = 12 Add '-9' to each side of the equation. 9 + -9 + -11c = 12 + -9 Combine like terms: 9 + -9 = 0 0 + -11c = 12 + -9 -11c = 12 + -9 Combine like terms: 12 + -9 = 3 -11c = 3 Divide each side by '-11'. c = -0.2727272727 Simplifying c = -0.2727272727
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