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Simplifying 2d + 5 = 4d + -17 Reorder the terms: 5 + 2d = 4d + -17 Reorder the terms: 5 + 2d = -17 + 4d Solving 5 + 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. 5 + 2d + -4d = -17 + 4d + -4d Combine like terms: 2d + -4d = -2d 5 + -2d = -17 + 4d + -4d Combine like terms: 4d + -4d = 0 5 + -2d = -17 + 0 5 + -2d = -17 Add '-5' to each side of the equation. 5 + -5 + -2d = -17 + -5 Combine like terms: 5 + -5 = 0 0 + -2d = -17 + -5 -2d = -17 + -5 Combine like terms: -17 + -5 = -22 -2d = -22 Divide each side by '-2'. d = 11 Simplifying d = 11
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