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Simplifying 4(3d + 2) = 8d + -5 Reorder the terms: 4(2 + 3d) = 8d + -5 (2 * 4 + 3d * 4) = 8d + -5 (8 + 12d) = 8d + -5 Reorder the terms: 8 + 12d = -5 + 8d Solving 8 + 12d = -5 + 8d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-8d' to each side of the equation. 8 + 12d + -8d = -5 + 8d + -8d Combine like terms: 12d + -8d = 4d 8 + 4d = -5 + 8d + -8d Combine like terms: 8d + -8d = 0 8 + 4d = -5 + 0 8 + 4d = -5 Add '-8' to each side of the equation. 8 + -8 + 4d = -5 + -8 Combine like terms: 8 + -8 = 0 0 + 4d = -5 + -8 4d = -5 + -8 Combine like terms: -5 + -8 = -13 4d = -13 Divide each side by '4'. d = -3.25 Simplifying d = -3.25
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