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