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Simplifying 3G + -2(g + 4) = 8(g + -2) Reorder the terms: 3G + -2(4 + g) = 8(g + -2) 3G + (4 * -2 + g * -2) = 8(g + -2) 3G + (-8 + -2g) = 8(g + -2) Reorder the terms: -8 + 3G + -2g = 8(g + -2) Reorder the terms: -8 + 3G + -2g = 8(-2 + g) -8 + 3G + -2g = (-2 * 8 + g * 8) -8 + 3G + -2g = (-16 + 8g) Solving -8 + 3G + -2g = -16 + 8g Solving for variable 'G'. Move all terms containing G to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 3G + 8 + -2g = -16 + 8 + 8g Reorder the terms: -8 + 8 + 3G + -2g = -16 + 8 + 8g Combine like terms: -8 + 8 = 0 0 + 3G + -2g = -16 + 8 + 8g 3G + -2g = -16 + 8 + 8g Combine like terms: -16 + 8 = -8 3G + -2g = -8 + 8g Add '2g' to each side of the equation. 3G + -2g + 2g = -8 + 8g + 2g Combine like terms: -2g + 2g = 0 3G + 0 = -8 + 8g + 2g 3G = -8 + 8g + 2g Combine like terms: 8g + 2g = 10g 3G = -8 + 10g Divide each side by '3'. G = -2.666666667 + 3.333333333g Simplifying G = -2.666666667 + 3.333333333g
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