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Simplifying 3(d + 8) + 4(4d + 5) = 120 Reorder the terms: 3(8 + d) + 4(4d + 5) = 120 (8 * 3 + d * 3) + 4(4d + 5) = 120 (24 + 3d) + 4(4d + 5) = 120 Reorder the terms: 24 + 3d + 4(5 + 4d) = 120 24 + 3d + (5 * 4 + 4d * 4) = 120 24 + 3d + (20 + 16d) = 120 Reorder the terms: 24 + 20 + 3d + 16d = 120 Combine like terms: 24 + 20 = 44 44 + 3d + 16d = 120 Combine like terms: 3d + 16d = 19d 44 + 19d = 120 Solving 44 + 19d = 120 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-44' to each side of the equation. 44 + -44 + 19d = 120 + -44 Combine like terms: 44 + -44 = 0 0 + 19d = 120 + -44 19d = 120 + -44 Combine like terms: 120 + -44 = 76 19d = 76 Divide each side by '19'. d = 4 Simplifying d = 4
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