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Simplifying 9(8d + -2) = 20 + 5d Reorder the terms: 9(-2 + 8d) = 20 + 5d (-2 * 9 + 8d * 9) = 20 + 5d (-18 + 72d) = 20 + 5d Solving -18 + 72d = 20 + 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. -18 + 72d + -5d = 20 + 5d + -5d Combine like terms: 72d + -5d = 67d -18 + 67d = 20 + 5d + -5d Combine like terms: 5d + -5d = 0 -18 + 67d = 20 + 0 -18 + 67d = 20 Add '18' to each side of the equation. -18 + 18 + 67d = 20 + 18 Combine like terms: -18 + 18 = 0 0 + 67d = 20 + 18 67d = 20 + 18 Combine like terms: 20 + 18 = 38 67d = 38 Divide each side by '67'. d = 0.5671641791 Simplifying d = 0.5671641791
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