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Simplifying 5g + -4(-5 + -3G) = 1 + -1g 5g + (-5 * -4 + -3G * -4) = 1 + -1g 5g + (20 + 12G) = 1 + -1g Reorder the terms: 20 + 12G + 5g = 1 + -1g Solving 20 + 12G + 5g = 1 + -1g Solving for variable 'G'. Move all terms containing G to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + 12G + -20 + 5g = 1 + -20 + -1g Reorder the terms: 20 + -20 + 12G + 5g = 1 + -20 + -1g Combine like terms: 20 + -20 = 0 0 + 12G + 5g = 1 + -20 + -1g 12G + 5g = 1 + -20 + -1g Combine like terms: 1 + -20 = -19 12G + 5g = -19 + -1g Add '-5g' to each side of the equation. 12G + 5g + -5g = -19 + -1g + -5g Combine like terms: 5g + -5g = 0 12G + 0 = -19 + -1g + -5g 12G = -19 + -1g + -5g Combine like terms: -1g + -5g = -6g 12G = -19 + -6g Divide each side by '12'. G = -1.583333333 + -0.5g Simplifying G = -1.583333333 + -0.5g
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