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Simplifying 3g + h + 5g + 4h + -2g = 0 Reorder the terms: 3g + 5g + -2g + h + 4h = 0 Combine like terms: 3g + 5g = 8g 8g + -2g + h + 4h = 0 Combine like terms: 8g + -2g = 6g 6g + h + 4h = 0 Combine like terms: h + 4h = 5h 6g + 5h = 0 Solving 6g + 5h = 0 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-5h' to each side of the equation. 6g + 5h + -5h = 0 + -5h Combine like terms: 5h + -5h = 0 6g + 0 = 0 + -5h 6g = 0 + -5h Remove the zero: 6g = -5h Divide each side by '6'. g = -0.8333333333h Simplifying g = -0.8333333333h
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