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