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Simplifying 3(4d + 2) + -9d = 6(2 + -1d) Reorder the terms: 3(2 + 4d) + -9d = 6(2 + -1d) (2 * 3 + 4d * 3) + -9d = 6(2 + -1d) (6 + 12d) + -9d = 6(2 + -1d) Combine like terms: 12d + -9d = 3d 6 + 3d = 6(2 + -1d) 6 + 3d = (2 * 6 + -1d * 6) 6 + 3d = (12 + -6d) Solving 6 + 3d = 12 + -6d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '6d' to each side of the equation. 6 + 3d + 6d = 12 + -6d + 6d Combine like terms: 3d + 6d = 9d 6 + 9d = 12 + -6d + 6d Combine like terms: -6d + 6d = 0 6 + 9d = 12 + 0 6 + 9d = 12 Add '-6' to each side of the equation. 6 + -6 + 9d = 12 + -6 Combine like terms: 6 + -6 = 0 0 + 9d = 12 + -6 9d = 12 + -6 Combine like terms: 12 + -6 = 6 9d = 6 Divide each side by '9'. d = 0.6666666667 Simplifying d = 0.6666666667
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