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Simplifying -12g + -5(-20g + 18) = -17 + 7 + 8g Reorder the terms: -12g + -5(18 + -20g) = -17 + 7 + 8g -12g + (18 * -5 + -20g * -5) = -17 + 7 + 8g -12g + (-90 + 100g) = -17 + 7 + 8g Reorder the terms: -90 + -12g + 100g = -17 + 7 + 8g Combine like terms: -12g + 100g = 88g -90 + 88g = -17 + 7 + 8g Combine like terms: -17 + 7 = -10 -90 + 88g = -10 + 8g Solving -90 + 88g = -10 + 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. -90 + 88g + -8g = -10 + 8g + -8g Combine like terms: 88g + -8g = 80g -90 + 80g = -10 + 8g + -8g Combine like terms: 8g + -8g = 0 -90 + 80g = -10 + 0 -90 + 80g = -10 Add '90' to each side of the equation. -90 + 90 + 80g = -10 + 90 Combine like terms: -90 + 90 = 0 0 + 80g = -10 + 90 80g = -10 + 90 Combine like terms: -10 + 90 = 80 80g = 80 Divide each side by '80'. g = 1 Simplifying g = 1
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