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Simplifying 5(d + 4) + 3(d + -2) = 0 Reorder the terms: 5(4 + d) + 3(d + -2) = 0 (4 * 5 + d * 5) + 3(d + -2) = 0 (20 + 5d) + 3(d + -2) = 0 Reorder the terms: 20 + 5d + 3(-2 + d) = 0 20 + 5d + (-2 * 3 + d * 3) = 0 20 + 5d + (-6 + 3d) = 0 Reorder the terms: 20 + -6 + 5d + 3d = 0 Combine like terms: 20 + -6 = 14 14 + 5d + 3d = 0 Combine like terms: 5d + 3d = 8d 14 + 8d = 0 Solving 14 + 8d = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 8d = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 8d = 0 + -14 8d = 0 + -14 Combine like terms: 0 + -14 = -14 8d = -14 Divide each side by '8'. d = -1.75 Simplifying d = -1.75
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