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Simplifying 4(2G + -5) + -3G = 5 + 2(G + -1) Reorder the terms: 4(-5 + 2G) + -3G = 5 + 2(G + -1) (-5 * 4 + 2G * 4) + -3G = 5 + 2(G + -1) (-20 + 8G) + -3G = 5 + 2(G + -1) Combine like terms: 8G + -3G = 5G -20 + 5G = 5 + 2(G + -1) Reorder the terms: -20 + 5G = 5 + 2(-1 + G) -20 + 5G = 5 + (-1 * 2 + G * 2) -20 + 5G = 5 + (-2 + 2G) Combine like terms: 5 + -2 = 3 -20 + 5G = 3 + 2G Solving -20 + 5G = 3 + 2G Solving for variable 'G'. Move all terms containing G to the left, all other terms to the right. Add '-2G' to each side of the equation. -20 + 5G + -2G = 3 + 2G + -2G Combine like terms: 5G + -2G = 3G -20 + 3G = 3 + 2G + -2G Combine like terms: 2G + -2G = 0 -20 + 3G = 3 + 0 -20 + 3G = 3 Add '20' to each side of the equation. -20 + 20 + 3G = 3 + 20 Combine like terms: -20 + 20 = 0 0 + 3G = 3 + 20 3G = 3 + 20 Combine like terms: 3 + 20 = 23 3G = 23 Divide each side by '3'. G = 7.666666667 Simplifying G = 7.666666667
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