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Simplifying 9f + 3G + -7f + 7g = 0 Reorder the terms: 3G + 9f + -7f + 7g = 0 Combine like terms: 9f + -7f = 2f 3G + 2f + 7g = 0 Solving 3G + 2f + 7g = 0 Solving for variable 'G'. Move all terms containing G to the left, all other terms to the right. Add '-2f' to each side of the equation. 3G + 2f + -2f + 7g = 0 + -2f Combine like terms: 2f + -2f = 0 3G + 0 + 7g = 0 + -2f 3G + 7g = 0 + -2f Remove the zero: 3G + 7g = -2f Add '-7g' to each side of the equation. 3G + 7g + -7g = -2f + -7g Combine like terms: 7g + -7g = 0 3G + 0 = -2f + -7g 3G = -2f + -7g Divide each side by '3'. G = -0.6666666667f + -2.333333333g Simplifying G = -0.6666666667f + -2.333333333g
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