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Simplifying 1 + 1 + 2(d + 1) = 3 + 8(b + 9) Reorder the terms: 1 + 1 + 2(1 + d) = 3 + 8(b + 9) 1 + 1 + (1 * 2 + d * 2) = 3 + 8(b + 9) 1 + 1 + (2 + 2d) = 3 + 8(b + 9) Combine like terms: 1 + 1 = 2 2 + 2 + 2d = 3 + 8(b + 9) Combine like terms: 2 + 2 = 4 4 + 2d = 3 + 8(b + 9) Reorder the terms: 4 + 2d = 3 + 8(9 + b) 4 + 2d = 3 + (9 * 8 + b * 8) 4 + 2d = 3 + (72 + 8b) Combine like terms: 3 + 72 = 75 4 + 2d = 75 + 8b Solving 4 + 2d = 75 + 8b Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 2d = 75 + -4 + 8b Combine like terms: 4 + -4 = 0 0 + 2d = 75 + -4 + 8b 2d = 75 + -4 + 8b Combine like terms: 75 + -4 = 71 2d = 71 + 8b Divide each side by '2'. d = 35.5 + 4b Simplifying d = 35.5 + 4b
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