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Simplifying 6(3d + 4) + 2(7d + 2) = 0 Reorder the terms: 6(4 + 3d) + 2(7d + 2) = 0 (4 * 6 + 3d * 6) + 2(7d + 2) = 0 (24 + 18d) + 2(7d + 2) = 0 Reorder the terms: 24 + 18d + 2(2 + 7d) = 0 24 + 18d + (2 * 2 + 7d * 2) = 0 24 + 18d + (4 + 14d) = 0 Reorder the terms: 24 + 4 + 18d + 14d = 0 Combine like terms: 24 + 4 = 28 28 + 18d + 14d = 0 Combine like terms: 18d + 14d = 32d 28 + 32d = 0 Solving 28 + 32d = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + 32d = 0 + -28 Combine like terms: 28 + -28 = 0 0 + 32d = 0 + -28 32d = 0 + -28 Combine like terms: 0 + -28 = -28 32d = -28 Divide each side by '32'. d = -0.875 Simplifying d = -0.875
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