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Simplifying 5d + 8e + 9d + 11e = 0 Reorder the terms: 5d + 9d + 8e + 11e = 0 Combine like terms: 5d + 9d = 14d 14d + 8e + 11e = 0 Combine like terms: 8e + 11e = 19e 14d + 19e = 0 Solving 14d + 19e = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-19e' to each side of the equation. 14d + 19e + -19e = 0 + -19e Combine like terms: 19e + -19e = 0 14d + 0 = 0 + -19e 14d = 0 + -19e Remove the zero: 14d = -19e Divide each side by '14'. d = -1.357142857e Simplifying d = -1.357142857e
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