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Simplifying 6.5g + 2 = 4.5g + 8 Reorder the terms: 2 + 6.5g = 4.5g + 8 Reorder the terms: 2 + 6.5g = 8 + 4.5g Solving 2 + 6.5g = 8 + 4.5g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-4.5g' to each side of the equation. 2 + 6.5g + -4.5g = 8 + 4.5g + -4.5g Combine like terms: 6.5g + -4.5g = 2g 2 + 2g = 8 + 4.5g + -4.5g Combine like terms: 4.5g + -4.5g = 0.0 2 + 2g = 8 + 0.0 2 + 2g = 8 Add '-2' to each side of the equation. 2 + -2 + 2g = 8 + -2 Combine like terms: 2 + -2 = 0 0 + 2g = 8 + -2 2g = 8 + -2 Combine like terms: 8 + -2 = 6 2g = 6 Divide each side by '2'. g = 3 Simplifying g = 3
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