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Simplifying 3d + 3 + -2 = 8 + -5d + -35 Reorder the terms: 3 + -2 + 3d = 8 + -5d + -35 Combine like terms: 3 + -2 = 1 1 + 3d = 8 + -5d + -35 Reorder the terms: 1 + 3d = 8 + -35 + -5d Combine like terms: 8 + -35 = -27 1 + 3d = -27 + -5d Solving 1 + 3d = -27 + -5d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '5d' to each side of the equation. 1 + 3d + 5d = -27 + -5d + 5d Combine like terms: 3d + 5d = 8d 1 + 8d = -27 + -5d + 5d Combine like terms: -5d + 5d = 0 1 + 8d = -27 + 0 1 + 8d = -27 Add '-1' to each side of the equation. 1 + -1 + 8d = -27 + -1 Combine like terms: 1 + -1 = 0 0 + 8d = -27 + -1 8d = -27 + -1 Combine like terms: -27 + -1 = -28 8d = -28 Divide each side by '8'. d = -3.5 Simplifying d = -3.5
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