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Simplifying 14 + 5n = 3(n + 4) + 28 Reorder the terms: 14 + 5n = 3(4 + n) + 28 14 + 5n = (4 * 3 + n * 3) + 28 14 + 5n = (12 + 3n) + 28 Reorder the terms: 14 + 5n = 12 + 28 + 3n Combine like terms: 12 + 28 = 40 14 + 5n = 40 + 3n Solving 14 + 5n = 40 + 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. 14 + 5n + -3n = 40 + 3n + -3n Combine like terms: 5n + -3n = 2n 14 + 2n = 40 + 3n + -3n Combine like terms: 3n + -3n = 0 14 + 2n = 40 + 0 14 + 2n = 40 Add '-14' to each side of the equation. 14 + -14 + 2n = 40 + -14 Combine like terms: 14 + -14 = 0 0 + 2n = 40 + -14 2n = 40 + -14 Combine like terms: 40 + -14 = 26 2n = 26 Divide each side by '2'. n = 13 Simplifying n = 13
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