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Simplifying 10g + -20 = -2(4g + -5) + 8G Reorder the terms: -20 + 10g = -2(4g + -5) + 8G Reorder the terms: -20 + 10g = -2(-5 + 4g) + 8G -20 + 10g = (-5 * -2 + 4g * -2) + 8G -20 + 10g = (10 + -8g) + 8G Reorder the terms: -20 + 10g = 10 + 8G + -8g Solving -20 + 10g = 10 + 8G + -8g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '8g' to each side of the equation. -20 + 10g + 8g = 10 + 8G + -8g + 8g Combine like terms: 10g + 8g = 18g -20 + 18g = 10 + 8G + -8g + 8g Combine like terms: -8g + 8g = 0 -20 + 18g = 10 + 8G + 0 -20 + 18g = 10 + 8G Add '20' to each side of the equation. -20 + 20 + 18g = 10 + 20 + 8G Combine like terms: -20 + 20 = 0 0 + 18g = 10 + 20 + 8G 18g = 10 + 20 + 8G Combine like terms: 10 + 20 = 30 18g = 30 + 8G Divide each side by '18'. g = 1.666666667 + 0.4444444444G Simplifying g = 1.666666667 + 0.4444444444G
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