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Simplifying 5n + 2(n + 3) = 34 Reorder the terms: 5n + 2(3 + n) = 34 5n + (3 * 2 + n * 2) = 34 5n + (6 + 2n) = 34 Reorder the terms: 6 + 5n + 2n = 34 Combine like terms: 5n + 2n = 7n 6 + 7n = 34 Solving 6 + 7n = 34 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 7n = 34 + -6 Combine like terms: 6 + -6 = 0 0 + 7n = 34 + -6 7n = 34 + -6 Combine like terms: 34 + -6 = 28 7n = 28 Divide each side by '7'. n = 4 Simplifying n = 4
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