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Simplifying 9(4d + 4) + -8 = 4(8d + 20) Reorder the terms: 9(4 + 4d) + -8 = 4(8d + 20) (4 * 9 + 4d * 9) + -8 = 4(8d + 20) (36 + 36d) + -8 = 4(8d + 20) Reorder the terms: 36 + -8 + 36d = 4(8d + 20) Combine like terms: 36 + -8 = 28 28 + 36d = 4(8d + 20) Reorder the terms: 28 + 36d = 4(20 + 8d) 28 + 36d = (20 * 4 + 8d * 4) 28 + 36d = (80 + 32d) Solving 28 + 36d = 80 + 32d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-32d' to each side of the equation. 28 + 36d + -32d = 80 + 32d + -32d Combine like terms: 36d + -32d = 4d 28 + 4d = 80 + 32d + -32d Combine like terms: 32d + -32d = 0 28 + 4d = 80 + 0 28 + 4d = 80 Add '-28' to each side of the equation. 28 + -28 + 4d = 80 + -28 Combine like terms: 28 + -28 = 0 0 + 4d = 80 + -28 4d = 80 + -28 Combine like terms: 80 + -28 = 52 4d = 52 Divide each side by '4'. d = 13 Simplifying d = 13
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