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