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Simplifying 27 + 5d = 3d + 13 Reorder the terms: 27 + 5d = 13 + 3d Solving 27 + 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. 27 + 5d + -3d = 13 + 3d + -3d Combine like terms: 5d + -3d = 2d 27 + 2d = 13 + 3d + -3d Combine like terms: 3d + -3d = 0 27 + 2d = 13 + 0 27 + 2d = 13 Add '-27' to each side of the equation. 27 + -27 + 2d = 13 + -27 Combine like terms: 27 + -27 = 0 0 + 2d = 13 + -27 2d = 13 + -27 Combine like terms: 13 + -27 = -14 2d = -14 Divide each side by '2'. d = -7 Simplifying d = -7
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