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Simplifying -5(-8n + -1) + 1 = 206 Reorder the terms: -5(-1 + -8n) + 1 = 206 (-1 * -5 + -8n * -5) + 1 = 206 (5 + 40n) + 1 = 206 Reorder the terms: 5 + 1 + 40n = 206 Combine like terms: 5 + 1 = 6 6 + 40n = 206 Solving 6 + 40n = 206 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 40n = 206 + -6 Combine like terms: 6 + -6 = 0 0 + 40n = 206 + -6 40n = 206 + -6 Combine like terms: 206 + -6 = 200 40n = 200 Divide each side by '40'. n = 5 Simplifying n = 5
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