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Simplifying 4(g + 2) = 2(4 + -1g) + 12 Reorder the terms: 4(2 + g) = 2(4 + -1g) + 12 (2 * 4 + g * 4) = 2(4 + -1g) + 12 (8 + 4g) = 2(4 + -1g) + 12 8 + 4g = (4 * 2 + -1g * 2) + 12 8 + 4g = (8 + -2g) + 12 Reorder the terms: 8 + 4g = 8 + 12 + -2g Combine like terms: 8 + 12 = 20 8 + 4g = 20 + -2g Solving 8 + 4g = 20 + -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. 8 + 4g + 2g = 20 + -2g + 2g Combine like terms: 4g + 2g = 6g 8 + 6g = 20 + -2g + 2g Combine like terms: -2g + 2g = 0 8 + 6g = 20 + 0 8 + 6g = 20 Add '-8' to each side of the equation. 8 + -8 + 6g = 20 + -8 Combine like terms: 8 + -8 = 0 0 + 6g = 20 + -8 6g = 20 + -8 Combine like terms: 20 + -8 = 12 6g = 12 Divide each side by '6'. g = 2 Simplifying g = 2
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