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Simplifying 4g + -5h + -7 + -1g + 7 + -1h = 0 Reorder the terms: -7 + 7 + 4g + -1g + -5h + -1h = 0 Combine like terms: -7 + 7 = 0 0 + 4g + -1g + -5h + -1h = 0 4g + -1g + -5h + -1h = 0 Combine like terms: 4g + -1g = 3g 3g + -5h + -1h = 0 Combine like terms: -5h + -1h = -6h 3g + -6h = 0 Solving 3g + -6h = 0 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '6h' to each side of the equation. 3g + -6h + 6h = 0 + 6h Combine like terms: -6h + 6h = 0 3g + 0 = 0 + 6h 3g = 0 + 6h Remove the zero: 3g = 6h Divide each side by '3'. g = 2h Simplifying g = 2h
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