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Simplifying 9c2 + -99c + 50 + -30 = 3c2 + 15c + 6c2 + -3c + -30 Reorder the terms: 50 + -30 + -99c + 9c2 = 3c2 + 15c + 6c2 + -3c + -30 Combine like terms: 50 + -30 = 20 20 + -99c + 9c2 = 3c2 + 15c + 6c2 + -3c + -30 Reorder the terms: 20 + -99c + 9c2 = -30 + 15c + -3c + 3c2 + 6c2 Combine like terms: 15c + -3c = 12c 20 + -99c + 9c2 = -30 + 12c + 3c2 + 6c2 Combine like terms: 3c2 + 6c2 = 9c2 20 + -99c + 9c2 = -30 + 12c + 9c2 Add '-9c2' to each side of the equation. 20 + -99c + 9c2 + -9c2 = -30 + 12c + 9c2 + -9c2 Combine like terms: 9c2 + -9c2 = 0 20 + -99c + 0 = -30 + 12c + 9c2 + -9c2 20 + -99c = -30 + 12c + 9c2 + -9c2 Combine like terms: 9c2 + -9c2 = 0 20 + -99c = -30 + 12c + 0 20 + -99c = -30 + 12c Solving 20 + -99c = -30 + 12c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-12c' to each side of the equation. 20 + -99c + -12c = -30 + 12c + -12c Combine like terms: -99c + -12c = -111c 20 + -111c = -30 + 12c + -12c Combine like terms: 12c + -12c = 0 20 + -111c = -30 + 0 20 + -111c = -30 Add '-20' to each side of the equation. 20 + -20 + -111c = -30 + -20 Combine like terms: 20 + -20 = 0 0 + -111c = -30 + -20 -111c = -30 + -20 Combine like terms: -30 + -20 = -50 -111c = -50 Divide each side by '-111'. c = 0.4504504505 Simplifying c = 0.4504504505
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