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Simplifying 8(2d + 9) = 20 + -4d Reorder the terms: 8(9 + 2d) = 20 + -4d (9 * 8 + 2d * 8) = 20 + -4d (72 + 16d) = 20 + -4d Solving 72 + 16d = 20 + -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. 72 + 16d + 4d = 20 + -4d + 4d Combine like terms: 16d + 4d = 20d 72 + 20d = 20 + -4d + 4d Combine like terms: -4d + 4d = 0 72 + 20d = 20 + 0 72 + 20d = 20 Add '-72' to each side of the equation. 72 + -72 + 20d = 20 + -72 Combine like terms: 72 + -72 = 0 0 + 20d = 20 + -72 20d = 20 + -72 Combine like terms: 20 + -72 = -52 20d = -52 Divide each side by '20'. d = -2.6 Simplifying d = -2.6
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