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Simplifying 3(d + 13) = 8 + -4d Reorder the terms: 3(13 + d) = 8 + -4d (13 * 3 + d * 3) = 8 + -4d (39 + 3d) = 8 + -4d Solving 39 + 3d = 8 + -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 + 3d + 4d = 8 + -4d + 4d Combine like terms: 3d + 4d = 7d 39 + 7d = 8 + -4d + 4d Combine like terms: -4d + 4d = 0 39 + 7d = 8 + 0 39 + 7d = 8 Add '-39' to each side of the equation. 39 + -39 + 7d = 8 + -39 Combine like terms: 39 + -39 = 0 0 + 7d = 8 + -39 7d = 8 + -39 Combine like terms: 8 + -39 = -31 7d = -31 Divide each side by '7'. d = -4.428571429 Simplifying d = -4.428571429
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