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Simplifying 8d + 9 = 4d + 45 Reorder the terms: 9 + 8d = 4d + 45 Reorder the terms: 9 + 8d = 45 + 4d Solving 9 + 8d = 45 + 4d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-4d' to each side of the equation. 9 + 8d + -4d = 45 + 4d + -4d Combine like terms: 8d + -4d = 4d 9 + 4d = 45 + 4d + -4d Combine like terms: 4d + -4d = 0 9 + 4d = 45 + 0 9 + 4d = 45 Add '-9' to each side of the equation. 9 + -9 + 4d = 45 + -9 Combine like terms: 9 + -9 = 0 0 + 4d = 45 + -9 4d = 45 + -9 Combine like terms: 45 + -9 = 36 4d = 36 Divide each side by '4'. d = 9 Simplifying d = 9
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