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Simplifying 3(2c + -1d) + -4(d + -2c) = 0 (2c * 3 + -1d * 3) + -4(d + -2c) = 0 (6c + -3d) + -4(d + -2c) = 0 Reorder the terms: 6c + -3d + -4(-2c + d) = 0 6c + -3d + (-2c * -4 + d * -4) = 0 6c + -3d + (8c + -4d) = 0 Reorder the terms: 6c + 8c + -3d + -4d = 0 Combine like terms: 6c + 8c = 14c 14c + -3d + -4d = 0 Combine like terms: -3d + -4d = -7d 14c + -7d = 0 Solving 14c + -7d = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '7d' to each side of the equation. 14c + -7d + 7d = 0 + 7d Combine like terms: -7d + 7d = 0 14c + 0 = 0 + 7d 14c = 0 + 7d Remove the zero: 14c = 7d Divide each side by '14'. c = 0.5d Simplifying c = 0.5d
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