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