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Simplifying 2(6d + 3) = 18 + 3(16 + -3d) Reorder the terms: 2(3 + 6d) = 18 + 3(16 + -3d) (3 * 2 + 6d * 2) = 18 + 3(16 + -3d) (6 + 12d) = 18 + 3(16 + -3d) 6 + 12d = 18 + (16 * 3 + -3d * 3) 6 + 12d = 18 + (48 + -9d) Combine like terms: 18 + 48 = 66 6 + 12d = 66 + -9d Solving 6 + 12d = 66 + -9d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '9d' to each side of the equation. 6 + 12d + 9d = 66 + -9d + 9d Combine like terms: 12d + 9d = 21d 6 + 21d = 66 + -9d + 9d Combine like terms: -9d + 9d = 0 6 + 21d = 66 + 0 6 + 21d = 66 Add '-6' to each side of the equation. 6 + -6 + 21d = 66 + -6 Combine like terms: 6 + -6 = 0 0 + 21d = 66 + -6 21d = 66 + -6 Combine like terms: 66 + -6 = 60 21d = 60 Divide each side by '21'. d = 2.857142857 Simplifying d = 2.857142857
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