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Simplifying 2(6d + 3) = 18 + -3(6 + -3d) Reorder the terms: 2(3 + 6d) = 18 + -3(6 + -3d) (3 * 2 + 6d * 2) = 18 + -3(6 + -3d) (6 + 12d) = 18 + -3(6 + -3d) 6 + 12d = 18 + (6 * -3 + -3d * -3) 6 + 12d = 18 + (-18 + 9d) Combine like terms: 18 + -18 = 0 6 + 12d = 0 + 9d 6 + 12d = 9d Solving 6 + 12d = 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 = 9d + -9d Combine like terms: 12d + -9d = 3d 6 + 3d = 9d + -9d Combine like terms: 9d + -9d = 0 6 + 3d = 0 Add '-6' to each side of the equation. 6 + -6 + 3d = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 3d = 0 + -6 3d = 0 + -6 Combine like terms: 0 + -6 = -6 3d = -6 Divide each side by '3'. d = -2 Simplifying d = -2
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