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Simplifying 6(3g + 2) = 4(4g + 7) Reorder the terms: 6(2 + 3g) = 4(4g + 7) (2 * 6 + 3g * 6) = 4(4g + 7) (12 + 18g) = 4(4g + 7) Reorder the terms: 12 + 18g = 4(7 + 4g) 12 + 18g = (7 * 4 + 4g * 4) 12 + 18g = (28 + 16g) Solving 12 + 18g = 28 + 16g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-16g' to each side of the equation. 12 + 18g + -16g = 28 + 16g + -16g Combine like terms: 18g + -16g = 2g 12 + 2g = 28 + 16g + -16g Combine like terms: 16g + -16g = 0 12 + 2g = 28 + 0 12 + 2g = 28 Add '-12' to each side of the equation. 12 + -12 + 2g = 28 + -12 Combine like terms: 12 + -12 = 0 0 + 2g = 28 + -12 2g = 28 + -12 Combine like terms: 28 + -12 = 16 2g = 16 Divide each side by '2'. g = 8 Simplifying g = 8
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