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Simplifying 8n + -2 + 5 + 8 = 6n + 1 Reorder the terms: -2 + 5 + 8 + 8n = 6n + 1 Combine like terms: -2 + 5 = 3 3 + 8 + 8n = 6n + 1 Combine like terms: 3 + 8 = 11 11 + 8n = 6n + 1 Reorder the terms: 11 + 8n = 1 + 6n Solving 11 + 8n = 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. 11 + 8n + -6n = 1 + 6n + -6n Combine like terms: 8n + -6n = 2n 11 + 2n = 1 + 6n + -6n Combine like terms: 6n + -6n = 0 11 + 2n = 1 + 0 11 + 2n = 1 Add '-11' to each side of the equation. 11 + -11 + 2n = 1 + -11 Combine like terms: 11 + -11 = 0 0 + 2n = 1 + -11 2n = 1 + -11 Combine like terms: 1 + -11 = -10 2n = -10 Divide each side by '2'. n = -5 Simplifying n = -5
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