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Simplifying 4(10g + 80h) + -20(10h + -5g) = 0 (10g * 4 + 80h * 4) + -20(10h + -5g) = 0 (40g + 320h) + -20(10h + -5g) = 0 Reorder the terms: 40g + 320h + -20(-5g + 10h) = 0 40g + 320h + (-5g * -20 + 10h * -20) = 0 40g + 320h + (100g + -200h) = 0 Reorder the terms: 40g + 100g + 320h + -200h = 0 Combine like terms: 40g + 100g = 140g 140g + 320h + -200h = 0 Combine like terms: 320h + -200h = 120h 140g + 120h = 0 Solving 140g + 120h = 0 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-120h' to each side of the equation. 140g + 120h + -120h = 0 + -120h Combine like terms: 120h + -120h = 0 140g + 0 = 0 + -120h 140g = 0 + -120h Remove the zero: 140g = -120h Divide each side by '140'. g = -0.8571428571h Simplifying g = -0.8571428571h
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