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Simplifying 6c + 3d + 2c + -4d = 0 Reorder the terms: 6c + 2c + 3d + -4d = 0 Combine like terms: 6c + 2c = 8c 8c + 3d + -4d = 0 Combine like terms: 3d + -4d = -1d 8c + -1d = 0 Solving 8c + -1d = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add 'd' to each side of the equation. 8c + -1d + d = 0 + d Combine like terms: -1d + d = 0 8c + 0 = 0 + d 8c = 0 + d Remove the zero: 8c = d Divide each side by '8'. c = 0.125d Simplifying c = 0.125d
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