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Simplifying 25 + 5(5g + 3) = 30 + 4(2g + 9) Reorder the terms: 25 + 5(3 + 5g) = 30 + 4(2g + 9) 25 + (3 * 5 + 5g * 5) = 30 + 4(2g + 9) 25 + (15 + 25g) = 30 + 4(2g + 9) Combine like terms: 25 + 15 = 40 40 + 25g = 30 + 4(2g + 9) Reorder the terms: 40 + 25g = 30 + 4(9 + 2g) 40 + 25g = 30 + (9 * 4 + 2g * 4) 40 + 25g = 30 + (36 + 8g) Combine like terms: 30 + 36 = 66 40 + 25g = 66 + 8g Solving 40 + 25g = 66 + 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. 40 + 25g + -8g = 66 + 8g + -8g Combine like terms: 25g + -8g = 17g 40 + 17g = 66 + 8g + -8g Combine like terms: 8g + -8g = 0 40 + 17g = 66 + 0 40 + 17g = 66 Add '-40' to each side of the equation. 40 + -40 + 17g = 66 + -40 Combine like terms: 40 + -40 = 0 0 + 17g = 66 + -40 17g = 66 + -40 Combine like terms: 66 + -40 = 26 17g = 26 Divide each side by '17'. g = 1.529411765 Simplifying g = 1.529411765
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