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Simplifying 0.6666666667(6e + 9f + -21g) = 0 (6e * 0.6666666667 + 9f * 0.6666666667 + -21g * 0.6666666667) = 0 (4e + 6f + -14g) = 0 Solving 4e + 6f + -14g = 0 Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-6f' to each side of the equation. 4e + 6f + -6f + -14g = 0 + -6f Combine like terms: 6f + -6f = 0 4e + 0 + -14g = 0 + -6f 4e + -14g = 0 + -6f Remove the zero: 4e + -14g = -6f Add '14g' to each side of the equation. 4e + -14g + 14g = -6f + 14g Combine like terms: -14g + 14g = 0 4e + 0 = -6f + 14g 4e = -6f + 14g Divide each side by '4'. e = -1.5f + 3.5g Simplifying e = -1.5f + 3.5g
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