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Simplifying 9(8d + 3) = -22 + 5d Reorder the terms: 9(3 + 8d) = -22 + 5d (3 * 9 + 8d * 9) = -22 + 5d (27 + 72d) = -22 + 5d Solving 27 + 72d = -22 + 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. 27 + 72d + -5d = -22 + 5d + -5d Combine like terms: 72d + -5d = 67d 27 + 67d = -22 + 5d + -5d Combine like terms: 5d + -5d = 0 27 + 67d = -22 + 0 27 + 67d = -22 Add '-27' to each side of the equation. 27 + -27 + 67d = -22 + -27 Combine like terms: 27 + -27 = 0 0 + 67d = -22 + -27 67d = -22 + -27 Combine like terms: -22 + -27 = -49 67d = -49 Divide each side by '67'. d = -0.7313432836 Simplifying d = -0.7313432836
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