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Simplifying 2(2d + 4) = 4(2d + 7) Reorder the terms: 2(4 + 2d) = 4(2d + 7) (4 * 2 + 2d * 2) = 4(2d + 7) (8 + 4d) = 4(2d + 7) Reorder the terms: 8 + 4d = 4(7 + 2d) 8 + 4d = (7 * 4 + 2d * 4) 8 + 4d = (28 + 8d) Solving 8 + 4d = 28 + 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 + 4d + -8d = 28 + 8d + -8d Combine like terms: 4d + -8d = -4d 8 + -4d = 28 + 8d + -8d Combine like terms: 8d + -8d = 0 8 + -4d = 28 + 0 8 + -4d = 28 Add '-8' to each side of the equation. 8 + -8 + -4d = 28 + -8 Combine like terms: 8 + -8 = 0 0 + -4d = 28 + -8 -4d = 28 + -8 Combine like terms: 28 + -8 = 20 -4d = 20 Divide each side by '-4'. d = -5 Simplifying d = -5
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