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Simplifying -8n + 1 = 5 + -10n Reorder the terms: 1 + -8n = 5 + -10n Solving 1 + -8n = 5 + -10n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '10n' to each side of the equation. 1 + -8n + 10n = 5 + -10n + 10n Combine like terms: -8n + 10n = 2n 1 + 2n = 5 + -10n + 10n Combine like terms: -10n + 10n = 0 1 + 2n = 5 + 0 1 + 2n = 5 Add '-1' to each side of the equation. 1 + -1 + 2n = 5 + -1 Combine like terms: 1 + -1 = 0 0 + 2n = 5 + -1 2n = 5 + -1 Combine like terms: 5 + -1 = 4 2n = 4 Divide each side by '2'. n = 2 Simplifying n = 2
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