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Simplifying (3d + 2c) + -1(5d + -4c) = 0 Reorder the terms: (2c + 3d) + -1(5d + -4c) = 0 Remove parenthesis around (2c + 3d) 2c + 3d + -1(5d + -4c) = 0 Reorder the terms: 2c + 3d + -1(-4c + 5d) = 0 2c + 3d + (-4c * -1 + 5d * -1) = 0 2c + 3d + (4c + -5d) = 0 Reorder the terms: 2c + 4c + 3d + -5d = 0 Combine like terms: 2c + 4c = 6c 6c + 3d + -5d = 0 Combine like terms: 3d + -5d = -2d 6c + -2d = 0 Solving 6c + -2d = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '2d' to each side of the equation. 6c + -2d + 2d = 0 + 2d Combine like terms: -2d + 2d = 0 6c + 0 = 0 + 2d 6c = 0 + 2d Remove the zero: 6c = 2d Divide each side by '6'. c = 0.3333333333d Simplifying c = 0.3333333333d
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