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Simplifying 5(d + 8) + 3(d + -6) = 0 Reorder the terms: 5(8 + d) + 3(d + -6) = 0 (8 * 5 + d * 5) + 3(d + -6) = 0 (40 + 5d) + 3(d + -6) = 0 Reorder the terms: 40 + 5d + 3(-6 + d) = 0 40 + 5d + (-6 * 3 + d * 3) = 0 40 + 5d + (-18 + 3d) = 0 Reorder the terms: 40 + -18 + 5d + 3d = 0 Combine like terms: 40 + -18 = 22 22 + 5d + 3d = 0 Combine like terms: 5d + 3d = 8d 22 + 8d = 0 Solving 22 + 8d = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + 8d = 0 + -22 Combine like terms: 22 + -22 = 0 0 + 8d = 0 + -22 8d = 0 + -22 Combine like terms: 0 + -22 = -22 8d = -22 Divide each side by '8'. d = -2.75 Simplifying d = -2.75
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