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Simplifying 5d + 2 = 3d + 6 Reorder the terms: 2 + 5d = 3d + 6 Reorder the terms: 2 + 5d = 6 + 3d Solving 2 + 5d = 6 + 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. 2 + 5d + -3d = 6 + 3d + -3d Combine like terms: 5d + -3d = 2d 2 + 2d = 6 + 3d + -3d Combine like terms: 3d + -3d = 0 2 + 2d = 6 + 0 2 + 2d = 6 Add '-2' to each side of the equation. 2 + -2 + 2d = 6 + -2 Combine like terms: 2 + -2 = 0 0 + 2d = 6 + -2 2d = 6 + -2 Combine like terms: 6 + -2 = 4 2d = 4 Divide each side by '2'. d = 2 Simplifying d = 2
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