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Simplifying 2(c + d) + (6c + -6d) = 0 (c * 2 + d * 2) + (6c + -6d) = 0 (2c + 2d) + (6c + -6d) = 0 Remove parenthesis around (6c + -6d) 2c + 2d + 6c + -6d = 0 Reorder the terms: 2c + 6c + 2d + -6d = 0 Combine like terms: 2c + 6c = 8c 8c + 2d + -6d = 0 Combine like terms: 2d + -6d = -4d 8c + -4d = 0 Solving 8c + -4d = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '4d' to each side of the equation. 8c + -4d + 4d = 0 + 4d Combine like terms: -4d + 4d = 0 8c + 0 = 0 + 4d 8c = 0 + 4d Remove the zero: 8c = 4d Divide each side by '8'. c = 0.5d Simplifying c = 0.5d
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