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Simplifying 8(4 + 5n) + 5 = 317 (4 * 8 + 5n * 8) + 5 = 317 (32 + 40n) + 5 = 317 Reorder the terms: 32 + 5 + 40n = 317 Combine like terms: 32 + 5 = 37 37 + 40n = 317 Solving 37 + 40n = 317 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-37' to each side of the equation. 37 + -37 + 40n = 317 + -37 Combine like terms: 37 + -37 = 0 0 + 40n = 317 + -37 40n = 317 + -37 Combine like terms: 317 + -37 = 280 40n = 280 Divide each side by '40'. n = 7 Simplifying n = 7
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