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