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Simplifying 2(3g + 2) = 4(g + 4) Reorder the terms: 2(2 + 3g) = 4(g + 4) (2 * 2 + 3g * 2) = 4(g + 4) (4 + 6g) = 4(g + 4) Reorder the terms: 4 + 6g = 4(4 + g) 4 + 6g = (4 * 4 + g * 4) 4 + 6g = (16 + 4g) Solving 4 + 6g = 16 + 4g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-4g' to each side of the equation. 4 + 6g + -4g = 16 + 4g + -4g Combine like terms: 6g + -4g = 2g 4 + 2g = 16 + 4g + -4g Combine like terms: 4g + -4g = 0 4 + 2g = 16 + 0 4 + 2g = 16 Add '-4' to each side of the equation. 4 + -4 + 2g = 16 + -4 Combine like terms: 4 + -4 = 0 0 + 2g = 16 + -4 2g = 16 + -4 Combine like terms: 16 + -4 = 12 2g = 12 Divide each side by '2'. g = 6 Simplifying g = 6
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