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Simplifying 4(3d + 3) + 3(4d + 5) = 0 Reorder the terms: 4(3 + 3d) + 3(4d + 5) = 0 (3 * 4 + 3d * 4) + 3(4d + 5) = 0 (12 + 12d) + 3(4d + 5) = 0 Reorder the terms: 12 + 12d + 3(5 + 4d) = 0 12 + 12d + (5 * 3 + 4d * 3) = 0 12 + 12d + (15 + 12d) = 0 Reorder the terms: 12 + 15 + 12d + 12d = 0 Combine like terms: 12 + 15 = 27 27 + 12d + 12d = 0 Combine like terms: 12d + 12d = 24d 27 + 24d = 0 Solving 27 + 24d = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + 24d = 0 + -27 Combine like terms: 27 + -27 = 0 0 + 24d = 0 + -27 24d = 0 + -27 Combine like terms: 0 + -27 = -27 24d = -27 Divide each side by '24'. d = -1.125 Simplifying d = -1.125
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