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Simplifying 5d + 7e + 10d + 9e = 0 Reorder the terms: 5d + 10d + 7e + 9e = 0 Combine like terms: 5d + 10d = 15d 15d + 7e + 9e = 0 Combine like terms: 7e + 9e = 16e 15d + 16e = 0 Solving 15d + 16e = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-16e' to each side of the equation. 15d + 16e + -16e = 0 + -16e Combine like terms: 16e + -16e = 0 15d + 0 = 0 + -16e 15d = 0 + -16e Remove the zero: 15d = -16e Divide each side by '15'. d = -1.066666667e Simplifying d = -1.066666667e
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