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Simplifying 0.75g + -6 = 0.5g + 2 Reorder the terms: -6 + 0.75g = 0.5g + 2 Reorder the terms: -6 + 0.75g = 2 + 0.5g Solving -6 + 0.75g = 2 + 0.5g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-0.5g' to each side of the equation. -6 + 0.75g + -0.5g = 2 + 0.5g + -0.5g Combine like terms: 0.75g + -0.5g = 0.25g -6 + 0.25g = 2 + 0.5g + -0.5g Combine like terms: 0.5g + -0.5g = 0.0 -6 + 0.25g = 2 + 0.0 -6 + 0.25g = 2 Add '6' to each side of the equation. -6 + 6 + 0.25g = 2 + 6 Combine like terms: -6 + 6 = 0 0 + 0.25g = 2 + 6 0.25g = 2 + 6 Combine like terms: 2 + 6 = 8 0.25g = 8 Divide each side by '0.25'. g = 32 Simplifying g = 32
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