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Simplifying 15(20g + -5) = 25(15 + 10g) Reorder the terms: 15(-5 + 20g) = 25(15 + 10g) (-5 * 15 + 20g * 15) = 25(15 + 10g) (-75 + 300g) = 25(15 + 10g) -75 + 300g = (15 * 25 + 10g * 25) -75 + 300g = (375 + 250g) Solving -75 + 300g = 375 + 250g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-250g' to each side of the equation. -75 + 300g + -250g = 375 + 250g + -250g Combine like terms: 300g + -250g = 50g -75 + 50g = 375 + 250g + -250g Combine like terms: 250g + -250g = 0 -75 + 50g = 375 + 0 -75 + 50g = 375 Add '75' to each side of the equation. -75 + 75 + 50g = 375 + 75 Combine like terms: -75 + 75 = 0 0 + 50g = 375 + 75 50g = 375 + 75 Combine like terms: 375 + 75 = 450 50g = 450 Divide each side by '50'. g = 9 Simplifying g = 9
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