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Simplifying 12.42 + 0.3c + 19.75 = -8.6c + 1.0 Reorder the terms: 12.42 + 19.75 + 0.3c = -8.6c + 1.0 Combine like terms: 12.42 + 19.75 = 32.17 32.17 + 0.3c = -8.6c + 1.0 Reorder the terms: 32.17 + 0.3c = 1.0 + -8.6c Solving 32.17 + 0.3c = 1.0 + -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. 32.17 + 0.3c + 8.6c = 1.0 + -8.6c + 8.6c Combine like terms: 0.3c + 8.6c = 8.9c 32.17 + 8.9c = 1.0 + -8.6c + 8.6c Combine like terms: -8.6c + 8.6c = 0.0 32.17 + 8.9c = 1.0 + 0.0 32.17 + 8.9c = 1.0 Add '-32.17' to each side of the equation. 32.17 + -32.17 + 8.9c = 1.0 + -32.17 Combine like terms: 32.17 + -32.17 = 0.00 0.00 + 8.9c = 1.0 + -32.17 8.9c = 1.0 + -32.17 Combine like terms: 1.0 + -32.17 = -31.17 8.9c = -31.17 Divide each side by '8.9'. c = -3.502247191 Simplifying c = -3.502247191
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