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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 = -3d 27 = -18 + -3d Solving 27 = -18 + -3d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '3d' to each side of the equation. 27 + 3d = -18 + -3d + 3d Combine like terms: -3d + 3d = 0 27 + 3d = -18 + 0 27 + 3d = -18 Add '-27' to each side of the equation. 27 + -27 + 3d = -18 + -27 Combine like terms: 27 + -27 = 0 0 + 3d = -18 + -27 3d = -18 + -27 Combine like terms: -18 + -27 = -45 3d = -45 Divide each side by '3'. d = -15 Simplifying d = -15
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