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Simplifying 2g + 6(5g + -16) = 5 + 19 + 20g Reorder the terms: 2g + 6(-16 + 5g) = 5 + 19 + 20g 2g + (-16 * 6 + 5g * 6) = 5 + 19 + 20g 2g + (-96 + 30g) = 5 + 19 + 20g Reorder the terms: -96 + 2g + 30g = 5 + 19 + 20g Combine like terms: 2g + 30g = 32g -96 + 32g = 5 + 19 + 20g Combine like terms: 5 + 19 = 24 -96 + 32g = 24 + 20g Solving -96 + 32g = 24 + 20g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-20g' to each side of the equation. -96 + 32g + -20g = 24 + 20g + -20g Combine like terms: 32g + -20g = 12g -96 + 12g = 24 + 20g + -20g Combine like terms: 20g + -20g = 0 -96 + 12g = 24 + 0 -96 + 12g = 24 Add '96' to each side of the equation. -96 + 96 + 12g = 24 + 96 Combine like terms: -96 + 96 = 0 0 + 12g = 24 + 96 12g = 24 + 96 Combine like terms: 24 + 96 = 120 12g = 120 Divide each side by '12'. g = 10 Simplifying g = 10
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