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Simplifying 9(3d + 7) + -2d + -17 = 0 Reorder the terms: 9(7 + 3d) + -2d + -17 = 0 (7 * 9 + 3d * 9) + -2d + -17 = 0 (63 + 27d) + -2d + -17 = 0 Reorder the terms: 63 + -17 + 27d + -2d = 0 Combine like terms: 63 + -17 = 46 46 + 27d + -2d = 0 Combine like terms: 27d + -2d = 25d 46 + 25d = 0 Solving 46 + 25d = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-46' to each side of the equation. 46 + -46 + 25d = 0 + -46 Combine like terms: 46 + -46 = 0 0 + 25d = 0 + -46 25d = 0 + -46 Combine like terms: 0 + -46 = -46 25d = -46 Divide each side by '25'. d = -1.84 Simplifying d = -1.84
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