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Simplifying 6 + -6(1 + -5g) = 8g + 38 6 + (1 * -6 + -5g * -6) = 8g + 38 6 + (-6 + 30g) = 8g + 38 Combine like terms: 6 + -6 = 0 0 + 30g = 8g + 38 30g = 8g + 38 Reorder the terms: 30g = 38 + 8g Solving 30g = 38 + 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. 30g + -8g = 38 + 8g + -8g Combine like terms: 30g + -8g = 22g 22g = 38 + 8g + -8g Combine like terms: 8g + -8g = 0 22g = 38 + 0 22g = 38 Divide each side by '22'. g = 1.727272727 Simplifying g = 1.727272727
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