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Simplifying 6(4g + 2) + 2(4g + -4) = 0 Reorder the terms: 6(2 + 4g) + 2(4g + -4) = 0 (2 * 6 + 4g * 6) + 2(4g + -4) = 0 (12 + 24g) + 2(4g + -4) = 0 Reorder the terms: 12 + 24g + 2(-4 + 4g) = 0 12 + 24g + (-4 * 2 + 4g * 2) = 0 12 + 24g + (-8 + 8g) = 0 Reorder the terms: 12 + -8 + 24g + 8g = 0 Combine like terms: 12 + -8 = 4 4 + 24g + 8g = 0 Combine like terms: 24g + 8g = 32g 4 + 32g = 0 Solving 4 + 32g = 0 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 32g = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 32g = 0 + -4 32g = 0 + -4 Combine like terms: 0 + -4 = -4 32g = -4 Divide each side by '32'. g = -0.125 Simplifying g = -0.125
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