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Simplifying 5d + 6 = 3d + 16 Reorder the terms: 6 + 5d = 3d + 16 Reorder the terms: 6 + 5d = 16 + 3d Solving 6 + 5d = 16 + 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. 6 + 5d + -3d = 16 + 3d + -3d Combine like terms: 5d + -3d = 2d 6 + 2d = 16 + 3d + -3d Combine like terms: 3d + -3d = 0 6 + 2d = 16 + 0 6 + 2d = 16 Add '-6' to each side of the equation. 6 + -6 + 2d = 16 + -6 Combine like terms: 6 + -6 = 0 0 + 2d = 16 + -6 2d = 16 + -6 Combine like terms: 16 + -6 = 10 2d = 10 Divide each side by '2'. d = 5 Simplifying d = 5
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