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Simplifying 3(4d + 10) + -9d = 6(1 + -1d) Reorder the terms: 3(10 + 4d) + -9d = 6(1 + -1d) (10 * 3 + 4d * 3) + -9d = 6(1 + -1d) (30 + 12d) + -9d = 6(1 + -1d) Combine like terms: 12d + -9d = 3d 30 + 3d = 6(1 + -1d) 30 + 3d = (1 * 6 + -1d * 6) 30 + 3d = (6 + -6d) Solving 30 + 3d = 6 + -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. 30 + 3d + 6d = 6 + -6d + 6d Combine like terms: 3d + 6d = 9d 30 + 9d = 6 + -6d + 6d Combine like terms: -6d + 6d = 0 30 + 9d = 6 + 0 30 + 9d = 6 Add '-30' to each side of the equation. 30 + -30 + 9d = 6 + -30 Combine like terms: 30 + -30 = 0 0 + 9d = 6 + -30 9d = 6 + -30 Combine like terms: 6 + -30 = -24 9d = -24 Divide each side by '9'. d = -2.666666667 Simplifying d = -2.666666667
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