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Simplifying 5d + -3f + 9f + 7d = 0 Reorder the terms: 5d + 7d + -3f + 9f = 0 Combine like terms: 5d + 7d = 12d 12d + -3f + 9f = 0 Combine like terms: -3f + 9f = 6f 12d + 6f = 0 Solving 12d + 6f = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-6f' to each side of the equation. 12d + 6f + -6f = 0 + -6f Combine like terms: 6f + -6f = 0 12d + 0 = 0 + -6f 12d = 0 + -6f Remove the zero: 12d = -6f Divide each side by '12'. d = -0.5f Simplifying d = -0.5f
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