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Simplifying 2(4g + 6) = 2(6g + 9) Reorder the terms: 2(6 + 4g) = 2(6g + 9) (6 * 2 + 4g * 2) = 2(6g + 9) (12 + 8g) = 2(6g + 9) Reorder the terms: 12 + 8g = 2(9 + 6g) 12 + 8g = (9 * 2 + 6g * 2) 12 + 8g = (18 + 12g) Solving 12 + 8g = 18 + 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. 12 + 8g + -12g = 18 + 12g + -12g Combine like terms: 8g + -12g = -4g 12 + -4g = 18 + 12g + -12g Combine like terms: 12g + -12g = 0 12 + -4g = 18 + 0 12 + -4g = 18 Add '-12' to each side of the equation. 12 + -12 + -4g = 18 + -12 Combine like terms: 12 + -12 = 0 0 + -4g = 18 + -12 -4g = 18 + -12 Combine like terms: 18 + -12 = 6 -4g = 6 Divide each side by '-4'. g = -1.5 Simplifying g = -1.5
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