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Simplifying 5d + 9 = 3d + 21 Reorder the terms: 9 + 5d = 3d + 21 Reorder the terms: 9 + 5d = 21 + 3d Solving 9 + 5d = 21 + 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. 9 + 5d + -3d = 21 + 3d + -3d Combine like terms: 5d + -3d = 2d 9 + 2d = 21 + 3d + -3d Combine like terms: 3d + -3d = 0 9 + 2d = 21 + 0 9 + 2d = 21 Add '-9' to each side of the equation. 9 + -9 + 2d = 21 + -9 Combine like terms: 9 + -9 = 0 0 + 2d = 21 + -9 2d = 21 + -9 Combine like terms: 21 + -9 = 12 2d = 12 Divide each side by '2'. d = 6 Simplifying d = 6
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