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Simplifying 14n + 11 = 5(n + 4) Reorder the terms: 11 + 14n = 5(n + 4) Reorder the terms: 11 + 14n = 5(4 + n) 11 + 14n = (4 * 5 + n * 5) 11 + 14n = (20 + 5n) Solving 11 + 14n = 20 + 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. 11 + 14n + -5n = 20 + 5n + -5n Combine like terms: 14n + -5n = 9n 11 + 9n = 20 + 5n + -5n Combine like terms: 5n + -5n = 0 11 + 9n = 20 + 0 11 + 9n = 20 Add '-11' to each side of the equation. 11 + -11 + 9n = 20 + -11 Combine like terms: 11 + -11 = 0 0 + 9n = 20 + -11 9n = 20 + -11 Combine like terms: 20 + -11 = 9 9n = 9 Divide each side by '9'. n = 1 Simplifying n = 1
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