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Simplifying 2(3g + 2) + 4g = 3(5g + 8) Reorder the terms: 2(2 + 3g) + 4g = 3(5g + 8) (2 * 2 + 3g * 2) + 4g = 3(5g + 8) (4 + 6g) + 4g = 3(5g + 8) Combine like terms: 6g + 4g = 10g 4 + 10g = 3(5g + 8) Reorder the terms: 4 + 10g = 3(8 + 5g) 4 + 10g = (8 * 3 + 5g * 3) 4 + 10g = (24 + 15g) Solving 4 + 10g = 24 + 15g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-15g' to each side of the equation. 4 + 10g + -15g = 24 + 15g + -15g Combine like terms: 10g + -15g = -5g 4 + -5g = 24 + 15g + -15g Combine like terms: 15g + -15g = 0 4 + -5g = 24 + 0 4 + -5g = 24 Add '-4' to each side of the equation. 4 + -4 + -5g = 24 + -4 Combine like terms: 4 + -4 = 0 0 + -5g = 24 + -4 -5g = 24 + -4 Combine like terms: 24 + -4 = 20 -5g = 20 Divide each side by '-5'. g = -4 Simplifying g = -4
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