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Simplifying 4(3G + -5) = -1(46 + 3G) Reorder the terms: 4(-5 + 3G) = -1(46 + 3G) (-5 * 4 + 3G * 4) = -1(46 + 3G) (-20 + 12G) = -1(46 + 3G) -20 + 12G = (46 * -1 + 3G * -1) -20 + 12G = (-46 + -3G) Solving -20 + 12G = -46 + -3G Solving for variable 'G'. Move all terms containing G to the left, all other terms to the right. Add '3G' to each side of the equation. -20 + 12G + 3G = -46 + -3G + 3G Combine like terms: 12G + 3G = 15G -20 + 15G = -46 + -3G + 3G Combine like terms: -3G + 3G = 0 -20 + 15G = -46 + 0 -20 + 15G = -46 Add '20' to each side of the equation. -20 + 20 + 15G = -46 + 20 Combine like terms: -20 + 20 = 0 0 + 15G = -46 + 20 15G = -46 + 20 Combine like terms: -46 + 20 = -26 15G = -26 Divide each side by '15'. G = -1.733333333 Simplifying G = -1.733333333
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