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Simplifying 7d + 4c + 3d + 5c = 0 Reorder the terms: 4c + 5c + 7d + 3d = 0 Combine like terms: 4c + 5c = 9c 9c + 7d + 3d = 0 Combine like terms: 7d + 3d = 10d 9c + 10d = 0 Solving 9c + 10d = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-10d' to each side of the equation. 9c + 10d + -10d = 0 + -10d Combine like terms: 10d + -10d = 0 9c + 0 = 0 + -10d 9c = 0 + -10d Remove the zero: 9c = -10d Divide each side by '9'. c = -1.111111111d Simplifying c = -1.111111111d
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