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Simplifying 10 + 12g + 17 = 5(8g + -15) + 6g Reorder the terms: 10 + 17 + 12g = 5(8g + -15) + 6g Combine like terms: 10 + 17 = 27 27 + 12g = 5(8g + -15) + 6g Reorder the terms: 27 + 12g = 5(-15 + 8g) + 6g 27 + 12g = (-15 * 5 + 8g * 5) + 6g 27 + 12g = (-75 + 40g) + 6g Combine like terms: 40g + 6g = 46g 27 + 12g = -75 + 46g Solving 27 + 12g = -75 + 46g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-46g' to each side of the equation. 27 + 12g + -46g = -75 + 46g + -46g Combine like terms: 12g + -46g = -34g 27 + -34g = -75 + 46g + -46g Combine like terms: 46g + -46g = 0 27 + -34g = -75 + 0 27 + -34g = -75 Add '-27' to each side of the equation. 27 + -27 + -34g = -75 + -27 Combine like terms: 27 + -27 = 0 0 + -34g = -75 + -27 -34g = -75 + -27 Combine like terms: -75 + -27 = -102 -34g = -102 Divide each side by '-34'. g = 3 Simplifying g = 3
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