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Simplifying 3n + 46 = 1 + 5n Reorder the terms: 46 + 3n = 1 + 5n Solving 46 + 3n = 1 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. 46 + 3n + -5n = 1 + 5n + -5n Combine like terms: 3n + -5n = -2n 46 + -2n = 1 + 5n + -5n Combine like terms: 5n + -5n = 0 46 + -2n = 1 + 0 46 + -2n = 1 Add '-46' to each side of the equation. 46 + -46 + -2n = 1 + -46 Combine like terms: 46 + -46 = 0 0 + -2n = 1 + -46 -2n = 1 + -46 Combine like terms: 1 + -46 = -45 -2n = -45 Divide each side by '-2'. n = 22.5 Simplifying n = 22.5
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