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Simplifying 3(-2g + 15) + -16g = -20 + -5g + -20 Reorder the terms: 3(15 + -2g) + -16g = -20 + -5g + -20 (15 * 3 + -2g * 3) + -16g = -20 + -5g + -20 (45 + -6g) + -16g = -20 + -5g + -20 Combine like terms: -6g + -16g = -22g 45 + -22g = -20 + -5g + -20 Reorder the terms: 45 + -22g = -20 + -20 + -5g Combine like terms: -20 + -20 = -40 45 + -22g = -40 + -5g Solving 45 + -22g = -40 + -5g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '5g' to each side of the equation. 45 + -22g + 5g = -40 + -5g + 5g Combine like terms: -22g + 5g = -17g 45 + -17g = -40 + -5g + 5g Combine like terms: -5g + 5g = 0 45 + -17g = -40 + 0 45 + -17g = -40 Add '-45' to each side of the equation. 45 + -45 + -17g = -40 + -45 Combine like terms: 45 + -45 = 0 0 + -17g = -40 + -45 -17g = -40 + -45 Combine like terms: -40 + -45 = -85 -17g = -85 Divide each side by '-17'. g = 5 Simplifying g = 5
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