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Simplifying 5d + 5 = 3d + 13 Reorder the terms: 5 + 5d = 3d + 13 Reorder the terms: 5 + 5d = 13 + 3d Solving 5 + 5d = 13 + 3d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-3d' to each side of the equation. 5 + 5d + -3d = 13 + 3d + -3d Combine like terms: 5d + -3d = 2d 5 + 2d = 13 + 3d + -3d Combine like terms: 3d + -3d = 0 5 + 2d = 13 + 0 5 + 2d = 13 Add '-5' to each side of the equation. 5 + -5 + 2d = 13 + -5 Combine like terms: 5 + -5 = 0 0 + 2d = 13 + -5 2d = 13 + -5 Combine like terms: 13 + -5 = 8 2d = 8 Divide each side by '2'. d = 4 Simplifying d = 4
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