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Simplifying 3G + 8(2g + -6) = 2 + 14g Reorder the terms: 3G + 8(-6 + 2g) = 2 + 14g 3G + (-6 * 8 + 2g * 8) = 2 + 14g 3G + (-48 + 16g) = 2 + 14g Reorder the terms: -48 + 3G + 16g = 2 + 14g Solving -48 + 3G + 16g = 2 + 14g Solving for variable 'G'. Move all terms containing G to the left, all other terms to the right. Add '48' to each side of the equation. -48 + 3G + 48 + 16g = 2 + 48 + 14g Reorder the terms: -48 + 48 + 3G + 16g = 2 + 48 + 14g Combine like terms: -48 + 48 = 0 0 + 3G + 16g = 2 + 48 + 14g 3G + 16g = 2 + 48 + 14g Combine like terms: 2 + 48 = 50 3G + 16g = 50 + 14g Add '-16g' to each side of the equation. 3G + 16g + -16g = 50 + 14g + -16g Combine like terms: 16g + -16g = 0 3G + 0 = 50 + 14g + -16g 3G = 50 + 14g + -16g Combine like terms: 14g + -16g = -2g 3G = 50 + -2g Divide each side by '3'. G = 16.66666667 + -0.6666666667g Simplifying G = 16.66666667 + -0.6666666667g
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