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Simplifying (2c + 5d) + (6c + -3d) + (2c + 7d) = 0 Remove parenthesis around (2c + 5d) 2c + 5d + (6c + -3d) + (2c + 7d) = 0 Remove parenthesis around (6c + -3d) 2c + 5d + 6c + -3d + (2c + 7d) = 0 Remove parenthesis around (2c + 7d) 2c + 5d + 6c + -3d + 2c + 7d = 0 Reorder the terms: 2c + 6c + 2c + 5d + -3d + 7d = 0 Combine like terms: 2c + 6c = 8c 8c + 2c + 5d + -3d + 7d = 0 Combine like terms: 8c + 2c = 10c 10c + 5d + -3d + 7d = 0 Combine like terms: 5d + -3d = 2d 10c + 2d + 7d = 0 Combine like terms: 2d + 7d = 9d 10c + 9d = 0 Solving 10c + 9d = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-9d' to each side of the equation. 10c + 9d + -9d = 0 + -9d Combine like terms: 9d + -9d = 0 10c + 0 = 0 + -9d 10c = 0 + -9d Remove the zero: 10c = -9d Divide each side by '10'. c = -0.9d Simplifying c = -0.9d
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