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Simplifying 2g + 3(-8 + 3G) = 1 + -1g 2g + (-8 * 3 + 3G * 3) = 1 + -1g 2g + (-24 + 9G) = 1 + -1g Reorder the terms: -24 + 9G + 2g = 1 + -1g Solving -24 + 9G + 2g = 1 + -1g Solving for variable 'G'. Move all terms containing G to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 9G + 24 + 2g = 1 + 24 + -1g Reorder the terms: -24 + 24 + 9G + 2g = 1 + 24 + -1g Combine like terms: -24 + 24 = 0 0 + 9G + 2g = 1 + 24 + -1g 9G + 2g = 1 + 24 + -1g Combine like terms: 1 + 24 = 25 9G + 2g = 25 + -1g Add '-2g' to each side of the equation. 9G + 2g + -2g = 25 + -1g + -2g Combine like terms: 2g + -2g = 0 9G + 0 = 25 + -1g + -2g 9G = 25 + -1g + -2g Combine like terms: -1g + -2g = -3g 9G = 25 + -3g Divide each side by '9'. G = 2.777777778 + -0.3333333333g Simplifying G = 2.777777778 + -0.3333333333g
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