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Simplifying 3G + -6g(g + -8) = 42 Reorder the terms: 3G + -6g(-8 + g) = 42 3G + (-8 * -6g + g * -6g) = 42 3G + (48g + -6g2) = 42 Solving 3G + 48g + -6g2 = 42 Solving for variable 'G'. Move all terms containing G to the left, all other terms to the right. Add '-48g' to each side of the equation. 3G + 48g + -48g + -6g2 = 42 + -48g Combine like terms: 48g + -48g = 0 3G + 0 + -6g2 = 42 + -48g 3G + -6g2 = 42 + -48g Add '6g2' to each side of the equation. 3G + -6g2 + 6g2 = 42 + -48g + 6g2 Combine like terms: -6g2 + 6g2 = 0 3G + 0 = 42 + -48g + 6g2 3G = 42 + -48g + 6g2 Divide each side by '3'. G = 14 + -16g + 2g2 Simplifying G = 14 + -16g + 2g2
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