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Simplifying 10(6g + 3h) + 4(5g + -1h) = 0 (6g * 10 + 3h * 10) + 4(5g + -1h) = 0 (60g + 30h) + 4(5g + -1h) = 0 60g + 30h + (5g * 4 + -1h * 4) = 0 60g + 30h + (20g + -4h) = 0 Reorder the terms: 60g + 20g + 30h + -4h = 0 Combine like terms: 60g + 20g = 80g 80g + 30h + -4h = 0 Combine like terms: 30h + -4h = 26h 80g + 26h = 0 Solving 80g + 26h = 0 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-26h' to each side of the equation. 80g + 26h + -26h = 0 + -26h Combine like terms: 26h + -26h = 0 80g + 0 = 0 + -26h 80g = 0 + -26h Remove the zero: 80g = -26h Divide each side by '80'. g = -0.325h Simplifying g = -0.325h
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