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Simplifying 3G + -5 + 10g + 11 + -9g = 17 + g + -23 Reorder the terms: -5 + 11 + 3G + 10g + -9g = 17 + g + -23 Combine like terms: -5 + 11 = 6 6 + 3G + 10g + -9g = 17 + g + -23 Combine like terms: 10g + -9g = 1g 6 + 3G + 1g = 17 + g + -23 Reorder the terms: 6 + 3G + 1g = 17 + -23 + g Combine like terms: 17 + -23 = -6 6 + 3G + 1g = -6 + g Solving 6 + 3G + 1g = -6 + g Solving for variable 'G'. Move all terms containing G to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + 3G + -6 + 1g = -6 + -6 + g Reorder the terms: 6 + -6 + 3G + 1g = -6 + -6 + g Combine like terms: 6 + -6 = 0 0 + 3G + 1g = -6 + -6 + g 3G + 1g = -6 + -6 + g Combine like terms: -6 + -6 = -12 3G + 1g = -12 + g Add '-1g' to each side of the equation. 3G + 1g + -1g = -12 + g + -1g Combine like terms: 1g + -1g = 0 3G + 0 = -12 + g + -1g 3G = -12 + g + -1g Combine like terms: g + -1g = 0 3G = -12 + 0 3G = -12 Divide each side by '3'. G = -4 Simplifying G = -4
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