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Simplifying d + 6 + 2d = 4d + 9 Reorder the terms: 6 + d + 2d = 4d + 9 Combine like terms: d + 2d = 3d 6 + 3d = 4d + 9 Reorder the terms: 6 + 3d = 9 + 4d Solving 6 + 3d = 9 + 4d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-4d' to each side of the equation. 6 + 3d + -4d = 9 + 4d + -4d Combine like terms: 3d + -4d = -1d 6 + -1d = 9 + 4d + -4d Combine like terms: 4d + -4d = 0 6 + -1d = 9 + 0 6 + -1d = 9 Add '-6' to each side of the equation. 6 + -6 + -1d = 9 + -6 Combine like terms: 6 + -6 = 0 0 + -1d = 9 + -6 -1d = 9 + -6 Combine like terms: 9 + -6 = 3 -1d = 3 Divide each side by '-1'. d = -3 Simplifying d = -3
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