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Simplifying 5g + 9 + -1g + -11 = 2g + 12 Reorder the terms: 9 + -11 + 5g + -1g = 2g + 12 Combine like terms: 9 + -11 = -2 -2 + 5g + -1g = 2g + 12 Combine like terms: 5g + -1g = 4g -2 + 4g = 2g + 12 Reorder the terms: -2 + 4g = 12 + 2g Solving -2 + 4g = 12 + 2g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-2g' to each side of the equation. -2 + 4g + -2g = 12 + 2g + -2g Combine like terms: 4g + -2g = 2g -2 + 2g = 12 + 2g + -2g Combine like terms: 2g + -2g = 0 -2 + 2g = 12 + 0 -2 + 2g = 12 Add '2' to each side of the equation. -2 + 2 + 2g = 12 + 2 Combine like terms: -2 + 2 = 0 0 + 2g = 12 + 2 2g = 12 + 2 Combine like terms: 12 + 2 = 14 2g = 14 Divide each side by '2'. g = 7 Simplifying g = 7
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