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Simplifying 5g + 3(-7 + 3G) = 1 + -1g 5g + (-7 * 3 + 3G * 3) = 1 + -1g 5g + (-21 + 9G) = 1 + -1g Reorder the terms: -21 + 9G + 5g = 1 + -1g Solving -21 + 9G + 5g = 1 + -1g Solving for variable 'G'. Move all terms containing G to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 9G + 21 + 5g = 1 + 21 + -1g Reorder the terms: -21 + 21 + 9G + 5g = 1 + 21 + -1g Combine like terms: -21 + 21 = 0 0 + 9G + 5g = 1 + 21 + -1g 9G + 5g = 1 + 21 + -1g Combine like terms: 1 + 21 = 22 9G + 5g = 22 + -1g Add '-5g' to each side of the equation. 9G + 5g + -5g = 22 + -1g + -5g Combine like terms: 5g + -5g = 0 9G + 0 = 22 + -1g + -5g 9G = 22 + -1g + -5g Combine like terms: -1g + -5g = -6g 9G = 22 + -6g Divide each side by '9'. G = 2.444444444 + -0.6666666667g Simplifying G = 2.444444444 + -0.6666666667g
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