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Simplifying 3d + 8 = -2d + -17 Reorder the terms: 8 + 3d = -2d + -17 Reorder the terms: 8 + 3d = -17 + -2d Solving 8 + 3d = -17 + -2d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '2d' to each side of the equation. 8 + 3d + 2d = -17 + -2d + 2d Combine like terms: 3d + 2d = 5d 8 + 5d = -17 + -2d + 2d Combine like terms: -2d + 2d = 0 8 + 5d = -17 + 0 8 + 5d = -17 Add '-8' to each side of the equation. 8 + -8 + 5d = -17 + -8 Combine like terms: 8 + -8 = 0 0 + 5d = -17 + -8 5d = -17 + -8 Combine like terms: -17 + -8 = -25 5d = -25 Divide each side by '5'. d = -5 Simplifying d = -5
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