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Simplifying 12.42 + 0.3c + 19.72 = -8.6c + 1.02 Reorder the terms: 12.42 + 19.72 + 0.3c = -8.6c + 1.02 Combine like terms: 12.42 + 19.72 = 32.14 32.14 + 0.3c = -8.6c + 1.02 Reorder the terms: 32.14 + 0.3c = 1.02 + -8.6c Solving 32.14 + 0.3c = 1.02 + -8.6c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '8.6c' to each side of the equation. 32.14 + 0.3c + 8.6c = 1.02 + -8.6c + 8.6c Combine like terms: 0.3c + 8.6c = 8.9c 32.14 + 8.9c = 1.02 + -8.6c + 8.6c Combine like terms: -8.6c + 8.6c = 0.0 32.14 + 8.9c = 1.02 + 0.0 32.14 + 8.9c = 1.02 Add '-32.14' to each side of the equation. 32.14 + -32.14 + 8.9c = 1.02 + -32.14 Combine like terms: 32.14 + -32.14 = 0.00 0.00 + 8.9c = 1.02 + -32.14 8.9c = 1.02 + -32.14 Combine like terms: 1.02 + -32.14 = -31.12 8.9c = -31.12 Divide each side by '8.9'. c = -3.496629213 Simplifying c = -3.496629213
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