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Simplifying 2(4d + 2) = 4(d + 4) Reorder the terms: 2(2 + 4d) = 4(d + 4) (2 * 2 + 4d * 2) = 4(d + 4) (4 + 8d) = 4(d + 4) Reorder the terms: 4 + 8d = 4(4 + d) 4 + 8d = (4 * 4 + d * 4) 4 + 8d = (16 + 4d) Solving 4 + 8d = 16 + 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. 4 + 8d + -4d = 16 + 4d + -4d Combine like terms: 8d + -4d = 4d 4 + 4d = 16 + 4d + -4d Combine like terms: 4d + -4d = 0 4 + 4d = 16 + 0 4 + 4d = 16 Add '-4' to each side of the equation. 4 + -4 + 4d = 16 + -4 Combine like terms: 4 + -4 = 0 0 + 4d = 16 + -4 4d = 16 + -4 Combine like terms: 16 + -4 = 12 4d = 12 Divide each side by '4'. d = 3 Simplifying d = 3
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