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