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Simplifying 18d + 5(8 + 3d) = 7(3d + -8) 18d + (8 * 5 + 3d * 5) = 7(3d + -8) 18d + (40 + 15d) = 7(3d + -8) Reorder the terms: 40 + 18d + 15d = 7(3d + -8) Combine like terms: 18d + 15d = 33d 40 + 33d = 7(3d + -8) Reorder the terms: 40 + 33d = 7(-8 + 3d) 40 + 33d = (-8 * 7 + 3d * 7) 40 + 33d = (-56 + 21d) Solving 40 + 33d = -56 + 21d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-21d' to each side of the equation. 40 + 33d + -21d = -56 + 21d + -21d Combine like terms: 33d + -21d = 12d 40 + 12d = -56 + 21d + -21d Combine like terms: 21d + -21d = 0 40 + 12d = -56 + 0 40 + 12d = -56 Add '-40' to each side of the equation. 40 + -40 + 12d = -56 + -40 Combine like terms: 40 + -40 = 0 0 + 12d = -56 + -40 12d = -56 + -40 Combine like terms: -56 + -40 = -96 12d = -96 Divide each side by '12'. d = -8 Simplifying d = -8
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