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Simplifying 5(1 + 7n) + 6n = 169 (1 * 5 + 7n * 5) + 6n = 169 (5 + 35n) + 6n = 169 Combine like terms: 35n + 6n = 41n 5 + 41n = 169 Solving 5 + 41n = 169 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 41n = 169 + -5 Combine like terms: 5 + -5 = 0 0 + 41n = 169 + -5 41n = 169 + -5 Combine like terms: 169 + -5 = 164 41n = 164 Divide each side by '41'. n = 4 Simplifying n = 4
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