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Simplifying 3(2g + 9) + 8 = 2(2g + 7) Reorder the terms: 3(9 + 2g) + 8 = 2(2g + 7) (9 * 3 + 2g * 3) + 8 = 2(2g + 7) (27 + 6g) + 8 = 2(2g + 7) Reorder the terms: 27 + 8 + 6g = 2(2g + 7) Combine like terms: 27 + 8 = 35 35 + 6g = 2(2g + 7) Reorder the terms: 35 + 6g = 2(7 + 2g) 35 + 6g = (7 * 2 + 2g * 2) 35 + 6g = (14 + 4g) Solving 35 + 6g = 14 + 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. 35 + 6g + -4g = 14 + 4g + -4g Combine like terms: 6g + -4g = 2g 35 + 2g = 14 + 4g + -4g Combine like terms: 4g + -4g = 0 35 + 2g = 14 + 0 35 + 2g = 14 Add '-35' to each side of the equation. 35 + -35 + 2g = 14 + -35 Combine like terms: 35 + -35 = 0 0 + 2g = 14 + -35 2g = 14 + -35 Combine like terms: 14 + -35 = -21 2g = -21 Divide each side by '2'. g = -10.5 Simplifying g = -10.5
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