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Simplifying 4g + 4(-7 + 3G) = 1 + -1g 4g + (-7 * 4 + 3G * 4) = 1 + -1g 4g + (-28 + 12G) = 1 + -1g Reorder the terms: -28 + 12G + 4g = 1 + -1g Solving -28 + 12G + 4g = 1 + -1g Solving for variable 'G'. Move all terms containing G to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 12G + 28 + 4g = 1 + 28 + -1g Reorder the terms: -28 + 28 + 12G + 4g = 1 + 28 + -1g Combine like terms: -28 + 28 = 0 0 + 12G + 4g = 1 + 28 + -1g 12G + 4g = 1 + 28 + -1g Combine like terms: 1 + 28 = 29 12G + 4g = 29 + -1g Add '-4g' to each side of the equation. 12G + 4g + -4g = 29 + -1g + -4g Combine like terms: 4g + -4g = 0 12G + 0 = 29 + -1g + -4g 12G = 29 + -1g + -4g Combine like terms: -1g + -4g = -5g 12G = 29 + -5g Divide each side by '12'. G = 2.416666667 + -0.4166666667g Simplifying G = 2.416666667 + -0.4166666667g
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