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Simplifying 4c + -1d + 6c + 2d = 0 Reorder the terms: 4c + 6c + -1d + 2d = 0 Combine like terms: 4c + 6c = 10c 10c + -1d + 2d = 0 Combine like terms: -1d + 2d = 1d 10c + 1d = 0 Solving 10c + 1d = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-1d' to each side of the equation. 10c + 1d + -1d = 0 + -1d Combine like terms: 1d + -1d = 0 10c + 0 = 0 + -1d 10c = 0 + -1d Remove the zero: 10c = -1d Divide each side by '10'. c = -0.1d Simplifying c = -0.1d
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