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Simplifying -1d + 4 = 17 + 5d + -1 Reorder the terms: 4 + -1d = 17 + 5d + -1 Reorder the terms: 4 + -1d = 17 + -1 + 5d Combine like terms: 17 + -1 = 16 4 + -1d = 16 + 5d Solving 4 + -1d = 16 + 5d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-5d' to each side of the equation. 4 + -1d + -5d = 16 + 5d + -5d Combine like terms: -1d + -5d = -6d 4 + -6d = 16 + 5d + -5d Combine like terms: 5d + -5d = 0 4 + -6d = 16 + 0 4 + -6d = 16 Add '-4' to each side of the equation. 4 + -4 + -6d = 16 + -4 Combine like terms: 4 + -4 = 0 0 + -6d = 16 + -4 -6d = 16 + -4 Combine like terms: 16 + -4 = 12 -6d = 12 Divide each side by '-6'. d = -2 Simplifying d = -2
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