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Simplifying 3G + -2g + -1f + 4g + -6h + 2f = 0 Reorder the terms: 3G + -1f + 2f + -2g + 4g + -6h = 0 Combine like terms: -1f + 2f = 1f 3G + 1f + -2g + 4g + -6h = 0 Combine like terms: -2g + 4g = 2g 3G + 1f + 2g + -6h = 0 Solving 3G + 1f + 2g + -6h = 0 Solving for variable 'G'. Move all terms containing G to the left, all other terms to the right. Add '-1f' to each side of the equation. 3G + 1f + 2g + -1f + -6h = 0 + -1f Reorder the terms: 3G + 1f + -1f + 2g + -6h = 0 + -1f Combine like terms: 1f + -1f = 0 3G + 0 + 2g + -6h = 0 + -1f 3G + 2g + -6h = 0 + -1f Remove the zero: 3G + 2g + -6h = -1f Add '-2g' to each side of the equation. 3G + 2g + -2g + -6h = -1f + -2g Combine like terms: 2g + -2g = 0 3G + 0 + -6h = -1f + -2g 3G + -6h = -1f + -2g Add '6h' to each side of the equation. 3G + -6h + 6h = -1f + -2g + 6h Combine like terms: -6h + 6h = 0 3G + 0 = -1f + -2g + 6h 3G = -1f + -2g + 6h Divide each side by '3'. G = -0.3333333333f + -0.6666666667g + 2h Simplifying G = -0.3333333333f + -0.6666666667g + 2h
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