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Simplifying 5d + -17 + -3d + 18 = 15d + 17 + -11d Reorder the terms: -17 + 18 + 5d + -3d = 15d + 17 + -11d Combine like terms: -17 + 18 = 1 1 + 5d + -3d = 15d + 17 + -11d Combine like terms: 5d + -3d = 2d 1 + 2d = 15d + 17 + -11d Reorder the terms: 1 + 2d = 17 + 15d + -11d Combine like terms: 15d + -11d = 4d 1 + 2d = 17 + 4d Solving 1 + 2d = 17 + 4d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-4d' to each side of the equation. 1 + 2d + -4d = 17 + 4d + -4d Combine like terms: 2d + -4d = -2d 1 + -2d = 17 + 4d + -4d Combine like terms: 4d + -4d = 0 1 + -2d = 17 + 0 1 + -2d = 17 Add '-1' to each side of the equation. 1 + -1 + -2d = 17 + -1 Combine like terms: 1 + -1 = 0 0 + -2d = 17 + -1 -2d = 17 + -1 Combine like terms: 17 + -1 = 16 -2d = 16 Divide each side by '-2'. d = -8 Simplifying d = -8
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