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Simplifying 9e + -5f + -2g + -3e + 4f + g = 0 Reorder the terms: 9e + -3e + -5f + 4f + -2g + g = 0 Combine like terms: 9e + -3e = 6e 6e + -5f + 4f + -2g + g = 0 Combine like terms: -5f + 4f = -1f 6e + -1f + -2g + g = 0 Combine like terms: -2g + g = -1g 6e + -1f + -1g = 0 Solving 6e + -1f + -1g = 0 Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add 'f' to each side of the equation. 6e + -1f + f + -1g = 0 + f Combine like terms: -1f + f = 0 6e + 0 + -1g = 0 + f 6e + -1g = 0 + f Remove the zero: 6e + -1g = f Add 'g' to each side of the equation. 6e + -1g + g = f + g Combine like terms: -1g + g = 0 6e + 0 = f + g 6e = f + g Divide each side by '6'. e = 0.1666666667f + 0.1666666667g Simplifying e = 0.1666666667f + 0.1666666667g
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