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Simplifying 2c + -3d = 5d + 12 Reorder the terms: 2c + -3d = 12 + 5d Solving 2c + -3d = 12 + 5d Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '3d' to each side of the equation. 2c + -3d + 3d = 12 + 5d + 3d Combine like terms: -3d + 3d = 0 2c + 0 = 12 + 5d + 3d 2c = 12 + 5d + 3d Combine like terms: 5d + 3d = 8d 2c = 12 + 8d Divide each side by '2'. c = 6 + 4d Simplifying c = 6 + 4d
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