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Simplifying 0.666667(6e + 9f + -21g) = 0 (6e * 0.666667 + 9f * 0.666667 + -21g * 0.666667) = 0 (4.000002e + 6.000003f + -14.000007g) = 0 Solving 4.000002e + 6.000003f + -14.000007g = 0 Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-6.000003f' to each side of the equation. 4.000002e + 6.000003f + -6.000003f + -14.000007g = 0 + -6.000003f Combine like terms: 6.000003f + -6.000003f = 0.000000 4.000002e + 0.000000 + -14.000007g = 0 + -6.000003f 4.000002e + -14.000007g = 0 + -6.000003f Remove the zero: 4.000002e + -14.000007g = -6.000003f Add '14.000007g' to each side of the equation. 4.000002e + -14.000007g + 14.000007g = -6.000003f + 14.000007g Combine like terms: -14.000007g + 14.000007g = 0.000000 4.000002e + 0.000000 = -6.000003f + 14.000007g 4.000002e = -6.000003f + 14.000007g Divide each side by '4.000002'. e = -1.5f + 3.5g Simplifying e = -1.5f + 3.5g
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