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Simplifying 46 + -3g = 3(g + 6) + 8g Reorder the terms: 46 + -3g = 3(6 + g) + 8g 46 + -3g = (6 * 3 + g * 3) + 8g 46 + -3g = (18 + 3g) + 8g Combine like terms: 3g + 8g = 11g 46 + -3g = 18 + 11g Solving 46 + -3g = 18 + 11g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-11g' to each side of the equation. 46 + -3g + -11g = 18 + 11g + -11g Combine like terms: -3g + -11g = -14g 46 + -14g = 18 + 11g + -11g Combine like terms: 11g + -11g = 0 46 + -14g = 18 + 0 46 + -14g = 18 Add '-46' to each side of the equation. 46 + -46 + -14g = 18 + -46 Combine like terms: 46 + -46 = 0 0 + -14g = 18 + -46 -14g = 18 + -46 Combine like terms: 18 + -46 = -28 -14g = -28 Divide each side by '-14'. g = 2 Simplifying g = 2
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