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Simplifying -2(3G + 8) + -5g = -10g + -31 Reorder the terms: -2(8 + 3G) + -5g = -10g + -31 (8 * -2 + 3G * -2) + -5g = -10g + -31 (-16 + -6G) + -5g = -10g + -31 Reorder the terms: -16 + -6G + -5g = -31 + -10g Solving -16 + -6G + -5g = -31 + -10g Solving for variable 'G'. Move all terms containing G to the left, all other terms to the right. Add '16' to each side of the equation. -16 + -6G + 16 + -5g = -31 + 16 + -10g Reorder the terms: -16 + 16 + -6G + -5g = -31 + 16 + -10g Combine like terms: -16 + 16 = 0 0 + -6G + -5g = -31 + 16 + -10g -6G + -5g = -31 + 16 + -10g Combine like terms: -31 + 16 = -15 -6G + -5g = -15 + -10g Add '5g' to each side of the equation. -6G + -5g + 5g = -15 + -10g + 5g Combine like terms: -5g + 5g = 0 -6G + 0 = -15 + -10g + 5g -6G = -15 + -10g + 5g Combine like terms: -10g + 5g = -5g -6G = -15 + -5g Divide each side by '-6'. G = 2.5 + 0.8333333333g Simplifying G = 2.5 + 0.8333333333g
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