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Simplifying -5(8n + -2) + 8 = 218 Reorder the terms: -5(-2 + 8n) + 8 = 218 (-2 * -5 + 8n * -5) + 8 = 218 (10 + -40n) + 8 = 218 Reorder the terms: 10 + 8 + -40n = 218 Combine like terms: 10 + 8 = 18 18 + -40n = 218 Solving 18 + -40n = 218 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -40n = 218 + -18 Combine like terms: 18 + -18 = 0 0 + -40n = 218 + -18 -40n = 218 + -18 Combine like terms: 218 + -18 = 200 -40n = 200 Divide each side by '-40'. n = -5 Simplifying n = -5
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