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Simplifying 13.6c + 9(1.9c + 18.21) = -17.95 + -14.16 + 19.5c Reorder the terms: 13.6c + 9(18.21 + 1.9c) = -17.95 + -14.16 + 19.5c 13.6c + (18.21 * 9 + 1.9c * 9) = -17.95 + -14.16 + 19.5c 13.6c + (163.89 + 17.1c) = -17.95 + -14.16 + 19.5c Reorder the terms: 163.89 + 13.6c + 17.1c = -17.95 + -14.16 + 19.5c Combine like terms: 13.6c + 17.1c = 30.7c 163.89 + 30.7c = -17.95 + -14.16 + 19.5c Combine like terms: -17.95 + -14.16 = -32.11 163.89 + 30.7c = -32.11 + 19.5c Solving 163.89 + 30.7c = -32.11 + 19.5c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-19.5c' to each side of the equation. 163.89 + 30.7c + -19.5c = -32.11 + 19.5c + -19.5c Combine like terms: 30.7c + -19.5c = 11.2c 163.89 + 11.2c = -32.11 + 19.5c + -19.5c Combine like terms: 19.5c + -19.5c = 0.0 163.89 + 11.2c = -32.11 + 0.0 163.89 + 11.2c = -32.11 Add '-163.89' to each side of the equation. 163.89 + -163.89 + 11.2c = -32.11 + -163.89 Combine like terms: 163.89 + -163.89 = 0.00 0.00 + 11.2c = -32.11 + -163.89 11.2c = -32.11 + -163.89 Combine like terms: -32.11 + -163.89 = -196 11.2c = -196 Divide each side by '11.2'. c = -17.5 Simplifying c = -17.5
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