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Simplifying 5g + 2h = 3g + 1 Reorder the terms: 5g + 2h = 1 + 3g Solving 5g + 2h = 1 + 3g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-3g' to each side of the equation. 5g + -3g + 2h = 1 + 3g + -3g Combine like terms: 5g + -3g = 2g 2g + 2h = 1 + 3g + -3g Combine like terms: 3g + -3g = 0 2g + 2h = 1 + 0 2g + 2h = 1 Add '-2h' to each side of the equation. 2g + 2h + -2h = 1 + -2h Combine like terms: 2h + -2h = 0 2g + 0 = 1 + -2h 2g = 1 + -2h Divide each side by '2'. g = 0.5 + -1h Simplifying g = 0.5 + -1h
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