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Simplifying 7(6d + 15) + 3(15d + -8) = 0 Reorder the terms: 7(15 + 6d) + 3(15d + -8) = 0 (15 * 7 + 6d * 7) + 3(15d + -8) = 0 (105 + 42d) + 3(15d + -8) = 0 Reorder the terms: 105 + 42d + 3(-8 + 15d) = 0 105 + 42d + (-8 * 3 + 15d * 3) = 0 105 + 42d + (-24 + 45d) = 0 Reorder the terms: 105 + -24 + 42d + 45d = 0 Combine like terms: 105 + -24 = 81 81 + 42d + 45d = 0 Combine like terms: 42d + 45d = 87d 81 + 87d = 0 Solving 81 + 87d = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-81' to each side of the equation. 81 + -81 + 87d = 0 + -81 Combine like terms: 81 + -81 = 0 0 + 87d = 0 + -81 87d = 0 + -81 Combine like terms: 0 + -81 = -81 87d = -81 Divide each side by '87'. d = -0.9310344828 Simplifying d = -0.9310344828
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