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Simplifying 4(6 + -7d) + 3(4d + 5) + 4 + -3d = 0 (6 * 4 + -7d * 4) + 3(4d + 5) + 4 + -3d = 0 (24 + -28d) + 3(4d + 5) + 4 + -3d = 0 Reorder the terms: 24 + -28d + 3(5 + 4d) + 4 + -3d = 0 24 + -28d + (5 * 3 + 4d * 3) + 4 + -3d = 0 24 + -28d + (15 + 12d) + 4 + -3d = 0 Reorder the terms: 24 + 15 + 4 + -28d + 12d + -3d = 0 Combine like terms: 24 + 15 = 39 39 + 4 + -28d + 12d + -3d = 0 Combine like terms: 39 + 4 = 43 43 + -28d + 12d + -3d = 0 Combine like terms: -28d + 12d = -16d 43 + -16d + -3d = 0 Combine like terms: -16d + -3d = -19d 43 + -19d = 0 Solving 43 + -19d = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-43' to each side of the equation. 43 + -43 + -19d = 0 + -43 Combine like terms: 43 + -43 = 0 0 + -19d = 0 + -43 -19d = 0 + -43 Combine like terms: 0 + -43 = -43 -19d = -43 Divide each side by '-19'. d = 2.263157895 Simplifying d = 2.263157895
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