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Simplifying 4(10 + 80h) + -20(10h + -5g) = 0 (10 * 4 + 80h * 4) + -20(10h + -5g) = 0 (40 + 320h) + -20(10h + -5g) = 0 Reorder the terms: 40 + 320h + -20(-5g + 10h) = 0 40 + 320h + (-5g * -20 + 10h * -20) = 0 40 + 320h + (100g + -200h) = 0 Reorder the terms: 40 + 100g + 320h + -200h = 0 Combine like terms: 320h + -200h = 120h 40 + 100g + 120h = 0 Solving 40 + 100g + 120h = 0 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + 100g + -40 + 120h = 0 + -40 Reorder the terms: 40 + -40 + 100g + 120h = 0 + -40 Combine like terms: 40 + -40 = 0 0 + 100g + 120h = 0 + -40 100g + 120h = 0 + -40 Combine like terms: 0 + -40 = -40 100g + 120h = -40 Add '-120h' to each side of the equation. 100g + 120h + -120h = -40 + -120h Combine like terms: 120h + -120h = 0 100g + 0 = -40 + -120h 100g = -40 + -120h Divide each side by '100'. g = -0.4 + -1.2h Simplifying g = -0.4 + -1.2h
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