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Simplifying 4(2g + 3) + -2g + 3 = 2g + 2 + 3(2g + 2) Reorder the terms: 4(3 + 2g) + -2g + 3 = 2g + 2 + 3(2g + 2) (3 * 4 + 2g * 4) + -2g + 3 = 2g + 2 + 3(2g + 2) (12 + 8g) + -2g + 3 = 2g + 2 + 3(2g + 2) Reorder the terms: 12 + 3 + 8g + -2g = 2g + 2 + 3(2g + 2) Combine like terms: 12 + 3 = 15 15 + 8g + -2g = 2g + 2 + 3(2g + 2) Combine like terms: 8g + -2g = 6g 15 + 6g = 2g + 2 + 3(2g + 2) Reorder the terms: 15 + 6g = 2g + 2 + 3(2 + 2g) 15 + 6g = 2g + 2 + (2 * 3 + 2g * 3) 15 + 6g = 2g + 2 + (6 + 6g) Reorder the terms: 15 + 6g = 2 + 6 + 2g + 6g Combine like terms: 2 + 6 = 8 15 + 6g = 8 + 2g + 6g Combine like terms: 2g + 6g = 8g 15 + 6g = 8 + 8g Solving 15 + 6g = 8 + 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. 15 + 6g + -8g = 8 + 8g + -8g Combine like terms: 6g + -8g = -2g 15 + -2g = 8 + 8g + -8g Combine like terms: 8g + -8g = 0 15 + -2g = 8 + 0 15 + -2g = 8 Add '-15' to each side of the equation. 15 + -15 + -2g = 8 + -15 Combine like terms: 15 + -15 = 0 0 + -2g = 8 + -15 -2g = 8 + -15 Combine like terms: 8 + -15 = -7 -2g = -7 Divide each side by '-2'. g = 3.5 Simplifying g = 3.5
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