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Simplifying 5n(7 + 1) = 6n + 1 Combine like terms: 7 + 1 = 8 5n(8) = 6n + 1 Reorder the terms for easier multiplication: 5 * 8n = 6n + 1 Multiply 5 * 8 40n = 6n + 1 Reorder the terms: 40n = 1 + 6n Solving 40n = 1 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. 40n + -6n = 1 + 6n + -6n Combine like terms: 40n + -6n = 34n 34n = 1 + 6n + -6n Combine like terms: 6n + -6n = 0 34n = 1 + 0 34n = 1 Divide each side by '34'. n = 0.02941176471 Simplifying n = 0.02941176471
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