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