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Simplifying 3(4g + 6) = 2 + (6g + 9) Reorder the terms: 3(6 + 4g) = 2 + (6g + 9) (6 * 3 + 4g * 3) = 2 + (6g + 9) (18 + 12g) = 2 + (6g + 9) Reorder the terms: 18 + 12g = 2 + (9 + 6g) Remove parenthesis around (9 + 6g) 18 + 12g = 2 + 9 + 6g Combine like terms: 2 + 9 = 11 18 + 12g = 11 + 6g Solving 18 + 12g = 11 + 6g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-6g' to each side of the equation. 18 + 12g + -6g = 11 + 6g + -6g Combine like terms: 12g + -6g = 6g 18 + 6g = 11 + 6g + -6g Combine like terms: 6g + -6g = 0 18 + 6g = 11 + 0 18 + 6g = 11 Add '-18' to each side of the equation. 18 + -18 + 6g = 11 + -18 Combine like terms: 18 + -18 = 0 0 + 6g = 11 + -18 6g = 11 + -18 Combine like terms: 11 + -18 = -7 6g = -7 Divide each side by '6'. g = -1.166666667 Simplifying g = -1.166666667
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