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Simplifying 5(6n + 9) + 1 = 9n + 46 Reorder the terms: 5(9 + 6n) + 1 = 9n + 46 (9 * 5 + 6n * 5) + 1 = 9n + 46 (45 + 30n) + 1 = 9n + 46 Reorder the terms: 45 + 1 + 30n = 9n + 46 Combine like terms: 45 + 1 = 46 46 + 30n = 9n + 46 Reorder the terms: 46 + 30n = 46 + 9n Add '-46' to each side of the equation. 46 + -46 + 30n = 46 + -46 + 9n Combine like terms: 46 + -46 = 0 0 + 30n = 46 + -46 + 9n 30n = 46 + -46 + 9n Combine like terms: 46 + -46 = 0 30n = 0 + 9n 30n = 9n Solving 30n = 9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-9n' to each side of the equation. 30n + -9n = 9n + -9n Combine like terms: 30n + -9n = 21n 21n = 9n + -9n Combine like terms: 9n + -9n = 0 21n = 0 Divide each side by '21'. n = 0 Simplifying n = 0
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