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Simplifying 4g + 2(3G + -4h) + 2h = 0 4g + (3G * 2 + -4h * 2) + 2h = 0 4g + (6G + -8h) + 2h = 0 Reorder the terms: 6G + 4g + -8h + 2h = 0 Combine like terms: -8h + 2h = -6h 6G + 4g + -6h = 0 Solving 6G + 4g + -6h = 0 Solving for variable 'G'. Move all terms containing G to the left, all other terms to the right. Add '-4g' to each side of the equation. 6G + 4g + -4g + -6h = 0 + -4g Combine like terms: 4g + -4g = 0 6G + 0 + -6h = 0 + -4g 6G + -6h = 0 + -4g Remove the zero: 6G + -6h = -4g Add '6h' to each side of the equation. 6G + -6h + 6h = -4g + 6h Combine like terms: -6h + 6h = 0 6G + 0 = -4g + 6h 6G = -4g + 6h Divide each side by '6'. G = -0.6666666667g + h Simplifying G = -0.6666666667g + h
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