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Simplifying 6d + 3c + -1d + -2c = 0 Reorder the terms: 3c + -2c + 6d + -1d = 0 Combine like terms: 3c + -2c = 1c 1c + 6d + -1d = 0 Combine like terms: 6d + -1d = 5d 1c + 5d = 0 Solving 1c + 5d = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-5d' to each side of the equation. 1c + 5d + -5d = 0 + -5d Combine like terms: 5d + -5d = 0 1c + 0 = 0 + -5d 1c = 0 + -5d Remove the zero: 1c = -5d Divide each side by '1'. c = -5d Simplifying c = -5d
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