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Simplifying 4(3g + 5) = 2(5g + 7) Reorder the terms: 4(5 + 3g) = 2(5g + 7) (5 * 4 + 3g * 4) = 2(5g + 7) (20 + 12g) = 2(5g + 7) Reorder the terms: 20 + 12g = 2(7 + 5g) 20 + 12g = (7 * 2 + 5g * 2) 20 + 12g = (14 + 10g) Solving 20 + 12g = 14 + 10g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-10g' to each side of the equation. 20 + 12g + -10g = 14 + 10g + -10g Combine like terms: 12g + -10g = 2g 20 + 2g = 14 + 10g + -10g Combine like terms: 10g + -10g = 0 20 + 2g = 14 + 0 20 + 2g = 14 Add '-20' to each side of the equation. 20 + -20 + 2g = 14 + -20 Combine like terms: 20 + -20 = 0 0 + 2g = 14 + -20 2g = 14 + -20 Combine like terms: 14 + -20 = -6 2g = -6 Divide each side by '2'. g = -3 Simplifying g = -3
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