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Simplifying 3n + 1 = n + 19 Reorder the terms: 1 + 3n = n + 19 Reorder the terms: 1 + 3n = 19 + n Solving 1 + 3n = 19 + n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. 1 + 3n + -1n = 19 + n + -1n Combine like terms: 3n + -1n = 2n 1 + 2n = 19 + n + -1n Combine like terms: n + -1n = 0 1 + 2n = 19 + 0 1 + 2n = 19 Add '-1' to each side of the equation. 1 + -1 + 2n = 19 + -1 Combine like terms: 1 + -1 = 0 0 + 2n = 19 + -1 2n = 19 + -1 Combine like terms: 19 + -1 = 18 2n = 18 Divide each side by '2'. n = 9 Simplifying n = 9
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