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Simplifying 3c + 5d = 7d + -6c Reorder the terms: 3c + 5d = -6c + 7d Solving 3c + 5d = -6c + 7d Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '6c' to each side of the equation. 3c + 6c + 5d = -6c + 6c + 7d Combine like terms: 3c + 6c = 9c 9c + 5d = -6c + 6c + 7d Combine like terms: -6c + 6c = 0 9c + 5d = 0 + 7d 9c + 5d = 7d Add '-5d' to each side of the equation. 9c + 5d + -5d = 7d + -5d Combine like terms: 5d + -5d = 0 9c + 0 = 7d + -5d 9c = 7d + -5d Combine like terms: 7d + -5d = 2d 9c = 2d Divide each side by '9'. c = 0.2222222222d Simplifying c = 0.2222222222d
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