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Simplifying h + -3g + 12g + 6h + -8g = 0 Reorder the terms: -3g + 12g + -8g + h + 6h = 0 Combine like terms: -3g + 12g = 9g 9g + -8g + h + 6h = 0 Combine like terms: 9g + -8g = 1g 1g + h + 6h = 0 Combine like terms: h + 6h = 7h 1g + 7h = 0 Solving 1g + 7h = 0 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-7h' to each side of the equation. 1g + 7h + -7h = 0 + -7h Combine like terms: 7h + -7h = 0 1g + 0 = 0 + -7h 1g = 0 + -7h Remove the zero: 1g = -7h Divide each side by '1'. g = -7h Simplifying g = -7h
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