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Simplifying 4d + 8e + 8d + 11e = 0 Reorder the terms: 4d + 8d + 8e + 11e = 0 Combine like terms: 4d + 8d = 12d 12d + 8e + 11e = 0 Combine like terms: 8e + 11e = 19e 12d + 19e = 0 Solving 12d + 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. 12d + 19e + -19e = 0 + -19e Combine like terms: 19e + -19e = 0 12d + 0 = 0 + -19e 12d = 0 + -19e Remove the zero: 12d = -19e Divide each side by '12'. d = -1.583333333e Simplifying d = -1.583333333e
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