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Simplifying 3(2c + d) + -2(c + d) = 0 (2c * 3 + d * 3) + -2(c + d) = 0 (6c + 3d) + -2(c + d) = 0 6c + 3d + (c * -2 + d * -2) = 0 6c + 3d + (-2c + -2d) = 0 Reorder the terms: 6c + -2c + 3d + -2d = 0 Combine like terms: 6c + -2c = 4c 4c + 3d + -2d = 0 Combine like terms: 3d + -2d = 1d 4c + 1d = 0 Solving 4c + 1d = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-1d' to each side of the equation. 4c + 1d + -1d = 0 + -1d Combine like terms: 1d + -1d = 0 4c + 0 = 0 + -1d 4c = 0 + -1d Remove the zero: 4c = -1d Divide each side by '4'. c = -0.25d Simplifying c = -0.25d
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