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Simplifying 5d + 8e + 7d + 9e = 0 Reorder the terms: 5d + 7d + 8e + 9e = 0 Combine like terms: 5d + 7d = 12d 12d + 8e + 9e = 0 Combine like terms: 8e + 9e = 17e 12d + 17e = 0 Solving 12d + 17e = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-17e' to each side of the equation. 12d + 17e + -17e = 0 + -17e Combine like terms: 17e + -17e = 0 12d + 0 = 0 + -17e 12d = 0 + -17e Remove the zero: 12d = -17e Divide each side by '12'. d = -1.416666667e Simplifying d = -1.416666667e
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