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Simplifying 3G + 2f + 9g + 4g + 4f = 0 Reorder the terms: 3G + 2f + 4f + 9g + 4g = 0 Combine like terms: 2f + 4f = 6f 3G + 6f + 9g + 4g = 0 Combine like terms: 9g + 4g = 13g 3G + 6f + 13g = 0 Solving 3G + 6f + 13g = 0 Solving for variable 'G'. Move all terms containing G to the left, all other terms to the right. Add '-6f' to each side of the equation. 3G + 6f + -6f + 13g = 0 + -6f Combine like terms: 6f + -6f = 0 3G + 0 + 13g = 0 + -6f 3G + 13g = 0 + -6f Remove the zero: 3G + 13g = -6f Add '-13g' to each side of the equation. 3G + 13g + -13g = -6f + -13g Combine like terms: 13g + -13g = 0 3G + 0 = -6f + -13g 3G = -6f + -13g Divide each side by '3'. G = -2f + -4.333333333g Simplifying G = -2f + -4.333333333g
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