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Simplifying 3G + 3(2 + -1g) + 4(g + 1) = 0 3G + (2 * 3 + -1g * 3) + 4(g + 1) = 0 3G + (6 + -3g) + 4(g + 1) = 0 Reorder the terms: 3G + 6 + -3g + 4(1 + g) = 0 3G + 6 + -3g + (1 * 4 + g * 4) = 0 3G + 6 + -3g + (4 + 4g) = 0 Reorder the terms: 6 + 4 + 3G + -3g + 4g = 0 Combine like terms: 6 + 4 = 10 10 + 3G + -3g + 4g = 0 Combine like terms: -3g + 4g = 1g 10 + 3G + 1g = 0 Solving 10 + 3G + 1g = 0 Solving for variable 'G'. Move all terms containing G to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + 3G + -10 + 1g = 0 + -10 Reorder the terms: 10 + -10 + 3G + 1g = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 3G + 1g = 0 + -10 3G + 1g = 0 + -10 Combine like terms: 0 + -10 = -10 3G + 1g = -10 Add '-1g' to each side of the equation. 3G + 1g + -1g = -10 + -1g Combine like terms: 1g + -1g = 0 3G + 0 = -10 + -1g 3G = -10 + -1g Divide each side by '3'. G = -3.333333333 + -0.3333333333g Simplifying G = -3.333333333 + -0.3333333333g
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