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Simplifying 5 + 3(n + 3) + 4n = 42 Reorder the terms: 5 + 3(3 + n) + 4n = 42 5 + (3 * 3 + n * 3) + 4n = 42 5 + (9 + 3n) + 4n = 42 Combine like terms: 5 + 9 = 14 14 + 3n + 4n = 42 Combine like terms: 3n + 4n = 7n 14 + 7n = 42 Solving 14 + 7n = 42 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 7n = 42 + -14 Combine like terms: 14 + -14 = 0 0 + 7n = 42 + -14 7n = 42 + -14 Combine like terms: 42 + -14 = 28 7n = 28 Divide each side by '7'. n = 4 Simplifying n = 4
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