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Simplifying 12d + 5e + -7d + 3e = 0 Reorder the terms: 12d + -7d + 5e + 3e = 0 Combine like terms: 12d + -7d = 5d 5d + 5e + 3e = 0 Combine like terms: 5e + 3e = 8e 5d + 8e = 0 Solving 5d + 8e = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-8e' to each side of the equation. 5d + 8e + -8e = 0 + -8e Combine like terms: 8e + -8e = 0 5d + 0 = 0 + -8e 5d = 0 + -8e Remove the zero: 5d = -8e Divide each side by '5'. d = -1.6e Simplifying d = -1.6e
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