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Simplifying 3(4g + 6) = 2(12g + 9) Reorder the terms: 3(6 + 4g) = 2(12g + 9) (6 * 3 + 4g * 3) = 2(12g + 9) (18 + 12g) = 2(12g + 9) Reorder the terms: 18 + 12g = 2(9 + 12g) 18 + 12g = (9 * 2 + 12g * 2) 18 + 12g = (18 + 24g) Add '-18' to each side of the equation. 18 + -18 + 12g = 18 + -18 + 24g Combine like terms: 18 + -18 = 0 0 + 12g = 18 + -18 + 24g 12g = 18 + -18 + 24g Combine like terms: 18 + -18 = 0 12g = 0 + 24g 12g = 24g Solving 12g = 24g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-24g' to each side of the equation. 12g + -24g = 24g + -24g Combine like terms: 12g + -24g = -12g -12g = 24g + -24g Combine like terms: 24g + -24g = 0 -12g = 0 Divide each side by '-12'. g = 0 Simplifying g = 0
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