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Simplifying 9.8 + 8d + -4.6c + 2.9d = 0 Reorder the terms: 9.8 + -4.6c + 8d + 2.9d = 0 Combine like terms: 8d + 2.9d = 10.9d 9.8 + -4.6c + 10.9d = 0 Solving 9.8 + -4.6c + 10.9d = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-9.8' to each side of the equation. 9.8 + -4.6c + -9.8 + 10.9d = 0 + -9.8 Reorder the terms: 9.8 + -9.8 + -4.6c + 10.9d = 0 + -9.8 Combine like terms: 9.8 + -9.8 = 0.0 0.0 + -4.6c + 10.9d = 0 + -9.8 -4.6c + 10.9d = 0 + -9.8 Combine like terms: 0 + -9.8 = -9.8 -4.6c + 10.9d = -9.8 Add '-10.9d' to each side of the equation. -4.6c + 10.9d + -10.9d = -9.8 + -10.9d Combine like terms: 10.9d + -10.9d = 0.0 -4.6c + 0.0 = -9.8 + -10.9d -4.6c = -9.8 + -10.9d Divide each side by '-4.6'. c = 2.130434783 + 2.369565217d Simplifying c = 2.130434783 + 2.369565217d
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