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Simplifying -17 + 5d = 15d + -8d + 9 Reorder the terms: -17 + 5d = 9 + 15d + -8d Combine like terms: 15d + -8d = 7d -17 + 5d = 9 + 7d Solving -17 + 5d = 9 + 7d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-7d' to each side of the equation. -17 + 5d + -7d = 9 + 7d + -7d Combine like terms: 5d + -7d = -2d -17 + -2d = 9 + 7d + -7d Combine like terms: 7d + -7d = 0 -17 + -2d = 9 + 0 -17 + -2d = 9 Add '17' to each side of the equation. -17 + 17 + -2d = 9 + 17 Combine like terms: -17 + 17 = 0 0 + -2d = 9 + 17 -2d = 9 + 17 Combine like terms: 9 + 17 = 26 -2d = 26 Divide each side by '-2'. d = -13 Simplifying d = -13
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