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Simplifying 3g + 2h + -7g + 9g = 0 Reorder the terms: 3g + -7g + 9g + 2h = 0 Combine like terms: 3g + -7g = -4g -4g + 9g + 2h = 0 Combine like terms: -4g + 9g = 5g 5g + 2h = 0 Solving 5g + 2h = 0 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-2h' to each side of the equation. 5g + 2h + -2h = 0 + -2h Combine like terms: 2h + -2h = 0 5g + 0 = 0 + -2h 5g = 0 + -2h Remove the zero: 5g = -2h Divide each side by '5'. g = -0.4h Simplifying g = -0.4h
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