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Simplifying -3GS + -2(g + 4) = 8(g + -1) Reorder the terms: -3GS + -2(4 + g) = 8(g + -1) -3GS + (4 * -2 + g * -2) = 8(g + -1) -3GS + (-8 + -2g) = 8(g + -1) Reorder the terms: -8 + -3GS + -2g = 8(g + -1) Reorder the terms: -8 + -3GS + -2g = 8(-1 + g) -8 + -3GS + -2g = (-1 * 8 + g * 8) -8 + -3GS + -2g = (-8 + 8g) Add '8' to each side of the equation. -8 + -3GS + 8 + -2g = -8 + 8 + 8g Reorder the terms: -8 + 8 + -3GS + -2g = -8 + 8 + 8g Combine like terms: -8 + 8 = 0 0 + -3GS + -2g = -8 + 8 + 8g -3GS + -2g = -8 + 8 + 8g Combine like terms: -8 + 8 = 0 -3GS + -2g = 0 + 8g -3GS + -2g = 8g Solving -3GS + -2g = 8g 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. -3GS + -2g + 2g = 8g + 2g Combine like terms: -2g + 2g = 0 -3GS + 0 = 8g + 2g -3GS = 8g + 2g Combine like terms: 8g + 2g = 10g -3GS = 10g Divide each side by '-3S'. G = -3.333333333gS-1 Simplifying G = -3.333333333gS-1
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