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Simplifying 6(4d + 9) + 7d = 0 Reorder the terms: 6(9 + 4d) + 7d = 0 (9 * 6 + 4d * 6) + 7d = 0 (54 + 24d) + 7d = 0 Combine like terms: 24d + 7d = 31d 54 + 31d = 0 Solving 54 + 31d = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-54' to each side of the equation. 54 + -54 + 31d = 0 + -54 Combine like terms: 54 + -54 = 0 0 + 31d = 0 + -54 31d = 0 + -54 Combine like terms: 0 + -54 = -54 31d = -54 Divide each side by '31'. d = -1.741935484 Simplifying d = -1.741935484
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