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Simplifying 7d + 7e + 3f + -2e + -1f = 0 Reorder the terms: 7d + 7e + -2e + 3f + -1f = 0 Combine like terms: 7e + -2e = 5e 7d + 5e + 3f + -1f = 0 Combine like terms: 3f + -1f = 2f 7d + 5e + 2f = 0 Solving 7d + 5e + 2f = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-5e' to each side of the equation. 7d + 5e + -5e + 2f = 0 + -5e Combine like terms: 5e + -5e = 0 7d + 0 + 2f = 0 + -5e 7d + 2f = 0 + -5e Remove the zero: 7d + 2f = -5e Add '-2f' to each side of the equation. 7d + 2f + -2f = -5e + -2f Combine like terms: 2f + -2f = 0 7d + 0 = -5e + -2f 7d = -5e + -2f Divide each side by '7'. d = -0.7142857143e + -0.2857142857f Simplifying d = -0.7142857143e + -0.2857142857f
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