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Simplifying 3(2g + 4) = 6(2g + -5) Reorder the terms: 3(4 + 2g) = 6(2g + -5) (4 * 3 + 2g * 3) = 6(2g + -5) (12 + 6g) = 6(2g + -5) Reorder the terms: 12 + 6g = 6(-5 + 2g) 12 + 6g = (-5 * 6 + 2g * 6) 12 + 6g = (-30 + 12g) Solving 12 + 6g = -30 + 12g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-12g' to each side of the equation. 12 + 6g + -12g = -30 + 12g + -12g Combine like terms: 6g + -12g = -6g 12 + -6g = -30 + 12g + -12g Combine like terms: 12g + -12g = 0 12 + -6g = -30 + 0 12 + -6g = -30 Add '-12' to each side of the equation. 12 + -12 + -6g = -30 + -12 Combine like terms: 12 + -12 = 0 0 + -6g = -30 + -12 -6g = -30 + -12 Combine like terms: -30 + -12 = -42 -6g = -42 Divide each side by '-6'. g = 7 Simplifying g = 7
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