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Simplifying 2d + 3 = -5d + 17 Reorder the terms: 3 + 2d = -5d + 17 Reorder the terms: 3 + 2d = 17 + -5d Solving 3 + 2d = 17 + -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. 3 + 2d + 5d = 17 + -5d + 5d Combine like terms: 2d + 5d = 7d 3 + 7d = 17 + -5d + 5d Combine like terms: -5d + 5d = 0 3 + 7d = 17 + 0 3 + 7d = 17 Add '-3' to each side of the equation. 3 + -3 + 7d = 17 + -3 Combine like terms: 3 + -3 = 0 0 + 7d = 17 + -3 7d = 17 + -3 Combine like terms: 17 + -3 = 14 7d = 14 Divide each side by '7'. d = 2 Simplifying d = 2
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