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Simplifying 6(7n + 5) + -1n = 71 Reorder the terms: 6(5 + 7n) + -1n = 71 (5 * 6 + 7n * 6) + -1n = 71 (30 + 42n) + -1n = 71 Combine like terms: 42n + -1n = 41n 30 + 41n = 71 Solving 30 + 41n = 71 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 41n = 71 + -30 Combine like terms: 30 + -30 = 0 0 + 41n = 71 + -30 41n = 71 + -30 Combine like terms: 71 + -30 = 41 41n = 41 Divide each side by '41'. n = 1 Simplifying n = 1
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