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Simplifying 12d + 9 = 8d + 29 Reorder the terms: 9 + 12d = 8d + 29 Reorder the terms: 9 + 12d = 29 + 8d Solving 9 + 12d = 29 + 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. 9 + 12d + -8d = 29 + 8d + -8d Combine like terms: 12d + -8d = 4d 9 + 4d = 29 + 8d + -8d Combine like terms: 8d + -8d = 0 9 + 4d = 29 + 0 9 + 4d = 29 Add '-9' to each side of the equation. 9 + -9 + 4d = 29 + -9 Combine like terms: 9 + -9 = 0 0 + 4d = 29 + -9 4d = 29 + -9 Combine like terms: 29 + -9 = 20 4d = 20 Divide each side by '4'. d = 5 Simplifying d = 5
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