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Simplifying 5.1g + 2 = 2.1g + 14 Reorder the terms: 2 + 5.1g = 2.1g + 14 Reorder the terms: 2 + 5.1g = 14 + 2.1g Solving 2 + 5.1g = 14 + 2.1g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-2.1g' to each side of the equation. 2 + 5.1g + -2.1g = 14 + 2.1g + -2.1g Combine like terms: 5.1g + -2.1g = 3g 2 + 3g = 14 + 2.1g + -2.1g Combine like terms: 2.1g + -2.1g = 0.0 2 + 3g = 14 + 0.0 2 + 3g = 14 Add '-2' to each side of the equation. 2 + -2 + 3g = 14 + -2 Combine like terms: 2 + -2 = 0 0 + 3g = 14 + -2 3g = 14 + -2 Combine like terms: 14 + -2 = 12 3g = 12 Divide each side by '3'. g = 4 Simplifying g = 4
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