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Simplifying 4d + 7e + 9d + 8e = 0 Reorder the terms: 4d + 9d + 7e + 8e = 0 Combine like terms: 4d + 9d = 13d 13d + 7e + 8e = 0 Combine like terms: 7e + 8e = 15e 13d + 15e = 0 Solving 13d + 15e = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-15e' to each side of the equation. 13d + 15e + -15e = 0 + -15e Combine like terms: 15e + -15e = 0 13d + 0 = 0 + -15e 13d = 0 + -15e Remove the zero: 13d = -15e Divide each side by '13'. d = -1.153846154e Simplifying d = -1.153846154e
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