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Simplifying 4c + -5d + 3c + 2d = 1 Reorder the terms: 4c + 3c + -5d + 2d = 1 Combine like terms: 4c + 3c = 7c 7c + -5d + 2d = 1 Combine like terms: -5d + 2d = -3d 7c + -3d = 1 Solving 7c + -3d = 1 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. 7c + -3d + 3d = 1 + 3d Combine like terms: -3d + 3d = 0 7c + 0 = 1 + 3d 7c = 1 + 3d Divide each side by '7'. c = 0.1428571429 + 0.4285714286d Simplifying c = 0.1428571429 + 0.4285714286d
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