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Simplifying 8d + -3(13 + -3d) = 4d 8d + (13 * -3 + -3d * -3) = 4d 8d + (-39 + 9d) = 4d Reorder the terms: -39 + 8d + 9d = 4d Combine like terms: 8d + 9d = 17d -39 + 17d = 4d Solving -39 + 17d = 4d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-4d' to each side of the equation. -39 + 17d + -4d = 4d + -4d Combine like terms: 17d + -4d = 13d -39 + 13d = 4d + -4d Combine like terms: 4d + -4d = 0 -39 + 13d = 0 Add '39' to each side of the equation. -39 + 39 + 13d = 0 + 39 Combine like terms: -39 + 39 = 0 0 + 13d = 0 + 39 13d = 0 + 39 Combine like terms: 0 + 39 = 39 13d = 39 Divide each side by '13'. d = 3 Simplifying d = 3
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