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Simplifying 3(4g + 5) + 9(8g + 9) = 0 Reorder the terms: 3(5 + 4g) + 9(8g + 9) = 0 (5 * 3 + 4g * 3) + 9(8g + 9) = 0 (15 + 12g) + 9(8g + 9) = 0 Reorder the terms: 15 + 12g + 9(9 + 8g) = 0 15 + 12g + (9 * 9 + 8g * 9) = 0 15 + 12g + (81 + 72g) = 0 Reorder the terms: 15 + 81 + 12g + 72g = 0 Combine like terms: 15 + 81 = 96 96 + 12g + 72g = 0 Combine like terms: 12g + 72g = 84g 96 + 84g = 0 Solving 96 + 84g = 0 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-96' to each side of the equation. 96 + -96 + 84g = 0 + -96 Combine like terms: 96 + -96 = 0 0 + 84g = 0 + -96 84g = 0 + -96 Combine like terms: 0 + -96 = -96 84g = -96 Divide each side by '84'. g = -1.142857143 Simplifying g = -1.142857143
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