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Simplifying 7d + 17 = 4d + -13 Reorder the terms: 17 + 7d = 4d + -13 Reorder the terms: 17 + 7d = -13 + 4d Solving 17 + 7d = -13 + 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. 17 + 7d + -4d = -13 + 4d + -4d Combine like terms: 7d + -4d = 3d 17 + 3d = -13 + 4d + -4d Combine like terms: 4d + -4d = 0 17 + 3d = -13 + 0 17 + 3d = -13 Add '-17' to each side of the equation. 17 + -17 + 3d = -13 + -17 Combine like terms: 17 + -17 = 0 0 + 3d = -13 + -17 3d = -13 + -17 Combine like terms: -13 + -17 = -30 3d = -30 Divide each side by '3'. d = -10 Simplifying d = -10
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