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Simplifying 27 = 3d + -3(6 + -2d) 27 = 3d + (6 * -3 + -2d * -3) 27 = 3d + (-18 + 6d) Reorder the terms: 27 = -18 + 3d + 6d Combine like terms: 3d + 6d = 9d 27 = -18 + 9d Solving 27 = -18 + 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. 27 + -9d = -18 + 9d + -9d Combine like terms: 9d + -9d = 0 27 + -9d = -18 + 0 27 + -9d = -18 Add '-27' to each side of the equation. 27 + -27 + -9d = -18 + -27 Combine like terms: 27 + -27 = 0 0 + -9d = -18 + -27 -9d = -18 + -27 Combine like terms: -18 + -27 = -45 -9d = -45 Divide each side by '-9'. d = 5 Simplifying d = 5
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