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Simplifying 4d + -7f + 6e + 5d + -9 + 12f + 7 = 0 Reorder the terms: -9 + 7 + 4d + 5d + 6e + -7f + 12f = 0 Combine like terms: -9 + 7 = -2 -2 + 4d + 5d + 6e + -7f + 12f = 0 Combine like terms: 4d + 5d = 9d -2 + 9d + 6e + -7f + 12f = 0 Combine like terms: -7f + 12f = 5f -2 + 9d + 6e + 5f = 0 Solving -2 + 9d + 6e + 5f = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 9d + 6e + 2 + 5f = 0 + 2 Reorder the terms: -2 + 2 + 9d + 6e + 5f = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 9d + 6e + 5f = 0 + 2 9d + 6e + 5f = 0 + 2 Combine like terms: 0 + 2 = 2 9d + 6e + 5f = 2 Add '-6e' to each side of the equation. 9d + 6e + -6e + 5f = 2 + -6e Combine like terms: 6e + -6e = 0 9d + 0 + 5f = 2 + -6e 9d + 5f = 2 + -6e Add '-5f' to each side of the equation. 9d + 5f + -5f = 2 + -6e + -5f Combine like terms: 5f + -5f = 0 9d + 0 = 2 + -6e + -5f 9d = 2 + -6e + -5f Divide each side by '9'. d = 0.2222222222 + -0.6666666667e + -0.5555555556f Simplifying d = 0.2222222222 + -0.6666666667e + -0.5555555556f
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