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Simplifying 5n + 3(2n + 5) + -8 = 29 Reorder the terms: 5n + 3(5 + 2n) + -8 = 29 5n + (5 * 3 + 2n * 3) + -8 = 29 5n + (15 + 6n) + -8 = 29 Reorder the terms: 15 + -8 + 5n + 6n = 29 Combine like terms: 15 + -8 = 7 7 + 5n + 6n = 29 Combine like terms: 5n + 6n = 11n 7 + 11n = 29 Solving 7 + 11n = 29 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 11n = 29 + -7 Combine like terms: 7 + -7 = 0 0 + 11n = 29 + -7 11n = 29 + -7 Combine like terms: 29 + -7 = 22 11n = 22 Divide each side by '11'. n = 2 Simplifying n = 2
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