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Simplifying 2(3g + 6) + g = 4g + 4g Reorder the terms: 2(6 + 3g) + g = 4g + 4g (6 * 2 + 3g * 2) + g = 4g + 4g (12 + 6g) + g = 4g + 4g Combine like terms: 6g + g = 7g 12 + 7g = 4g + 4g Combine like terms: 4g + 4g = 8g 12 + 7g = 8g Solving 12 + 7g = 8g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-8g' to each side of the equation. 12 + 7g + -8g = 8g + -8g Combine like terms: 7g + -8g = -1g 12 + -1g = 8g + -8g Combine like terms: 8g + -8g = 0 12 + -1g = 0 Add '-12' to each side of the equation. 12 + -12 + -1g = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1g = 0 + -12 -1g = 0 + -12 Combine like terms: 0 + -12 = -12 -1g = -12 Divide each side by '-1'. g = 12 Simplifying g = 12
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