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Simplifying 8d + 40 = 5d + 4 Reorder the terms: 40 + 8d = 5d + 4 Reorder the terms: 40 + 8d = 4 + 5d Solving 40 + 8d = 4 + 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. 40 + 8d + -5d = 4 + 5d + -5d Combine like terms: 8d + -5d = 3d 40 + 3d = 4 + 5d + -5d Combine like terms: 5d + -5d = 0 40 + 3d = 4 + 0 40 + 3d = 4 Add '-40' to each side of the equation. 40 + -40 + 3d = 4 + -40 Combine like terms: 40 + -40 = 0 0 + 3d = 4 + -40 3d = 4 + -40 Combine like terms: 4 + -40 = -36 3d = -36 Divide each side by '3'. d = -12 Simplifying d = -12
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