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Simplifying 100(g + -3) = 450 + -50g Reorder the terms: 100(-3 + g) = 450 + -50g (-3 * 100 + g * 100) = 450 + -50g (-300 + 100g) = 450 + -50g Solving -300 + 100g = 450 + -50g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '50g' to each side of the equation. -300 + 100g + 50g = 450 + -50g + 50g Combine like terms: 100g + 50g = 150g -300 + 150g = 450 + -50g + 50g Combine like terms: -50g + 50g = 0 -300 + 150g = 450 + 0 -300 + 150g = 450 Add '300' to each side of the equation. -300 + 300 + 150g = 450 + 300 Combine like terms: -300 + 300 = 0 0 + 150g = 450 + 300 150g = 450 + 300 Combine like terms: 450 + 300 = 750 150g = 750 Divide each side by '150'. g = 5 Simplifying g = 5
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