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Simplifying 5.1g + 2 = 1.1g + 10 Reorder the terms: 2 + 5.1g = 1.1g + 10 Reorder the terms: 2 + 5.1g = 10 + 1.1g Solving 2 + 5.1g = 10 + 1.1g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-1.1g' to each side of the equation. 2 + 5.1g + -1.1g = 10 + 1.1g + -1.1g Combine like terms: 5.1g + -1.1g = 4g 2 + 4g = 10 + 1.1g + -1.1g Combine like terms: 1.1g + -1.1g = 0.0 2 + 4g = 10 + 0.0 2 + 4g = 10 Add '-2' to each side of the equation. 2 + -2 + 4g = 10 + -2 Combine like terms: 2 + -2 = 0 0 + 4g = 10 + -2 4g = 10 + -2 Combine like terms: 10 + -2 = 8 4g = 8 Divide each side by '4'. g = 2 Simplifying g = 2
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