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Simplifying -3G + -2 + -1(4g + 10) * g = -6 Reorder the terms: -3G + -2 + -1(10 + 4g) * g = -6 Reorder the terms for easier multiplication: -3G + -2 + -1g(10 + 4g) = -6 -3G + -2 + (10 * -1g + 4g * -1g) = -6 -3G + -2 + (-10g + -4g2) = -6 Reorder the terms: -2 + -3G + -10g + -4g2 = -6 Solving -2 + -3G + -10g + -4g2 = -6 Solving for variable 'G'. Move all terms containing G to the left, all other terms to the right. Add '2' to each side of the equation. -2 + -3G + -10g + 2 + -4g2 = -6 + 2 Reorder the terms: -2 + 2 + -3G + -10g + -4g2 = -6 + 2 Combine like terms: -2 + 2 = 0 0 + -3G + -10g + -4g2 = -6 + 2 -3G + -10g + -4g2 = -6 + 2 Combine like terms: -6 + 2 = -4 -3G + -10g + -4g2 = -4 Add '10g' to each side of the equation. -3G + -10g + 10g + -4g2 = -4 + 10g Combine like terms: -10g + 10g = 0 -3G + 0 + -4g2 = -4 + 10g -3G + -4g2 = -4 + 10g Add '4g2' to each side of the equation. -3G + -4g2 + 4g2 = -4 + 10g + 4g2 Combine like terms: -4g2 + 4g2 = 0 -3G + 0 = -4 + 10g + 4g2 -3G = -4 + 10g + 4g2 Divide each side by '-3'. G = 1.333333333 + -3.333333333g + -1.333333333g2 Simplifying G = 1.333333333 + -3.333333333g + -1.333333333g2
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