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Simplifying 8c + 2c + 5d + 3 = 0 Reorder the terms: 3 + 8c + 2c + 5d = 0 Combine like terms: 8c + 2c = 10c 3 + 10c + 5d = 0 Solving 3 + 10c + 5d = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + 10c + -3 + 5d = 0 + -3 Reorder the terms: 3 + -3 + 10c + 5d = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 10c + 5d = 0 + -3 10c + 5d = 0 + -3 Combine like terms: 0 + -3 = -3 10c + 5d = -3 Add '-5d' to each side of the equation. 10c + 5d + -5d = -3 + -5d Combine like terms: 5d + -5d = 0 10c + 0 = -3 + -5d 10c = -3 + -5d Divide each side by '10'. c = -0.3 + -0.5d Simplifying c = -0.3 + -0.5d
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