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Simplifying 17 + 6d = -8(7d + -9) Reorder the terms: 17 + 6d = -8(-9 + 7d) 17 + 6d = (-9 * -8 + 7d * -8) 17 + 6d = (72 + -56d) Solving 17 + 6d = 72 + -56d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '56d' to each side of the equation. 17 + 6d + 56d = 72 + -56d + 56d Combine like terms: 6d + 56d = 62d 17 + 62d = 72 + -56d + 56d Combine like terms: -56d + 56d = 0 17 + 62d = 72 + 0 17 + 62d = 72 Add '-17' to each side of the equation. 17 + -17 + 62d = 72 + -17 Combine like terms: 17 + -17 = 0 0 + 62d = 72 + -17 62d = 72 + -17 Combine like terms: 72 + -17 = 55 62d = 55 Divide each side by '62'. d = 0.8870967742 Simplifying d = 0.8870967742
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