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Simplifying 10d + 5 = 8d + 21 Reorder the terms: 5 + 10d = 8d + 21 Reorder the terms: 5 + 10d = 21 + 8d Solving 5 + 10d = 21 + 8d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-8d' to each side of the equation. 5 + 10d + -8d = 21 + 8d + -8d Combine like terms: 10d + -8d = 2d 5 + 2d = 21 + 8d + -8d Combine like terms: 8d + -8d = 0 5 + 2d = 21 + 0 5 + 2d = 21 Add '-5' to each side of the equation. 5 + -5 + 2d = 21 + -5 Combine like terms: 5 + -5 = 0 0 + 2d = 21 + -5 2d = 21 + -5 Combine like terms: 21 + -5 = 16 2d = 16 Divide each side by '2'. d = 8 Simplifying d = 8
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