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Simplifying 8n + 2 = -1n + 5 Reorder the terms: 2 + 8n = -1n + 5 Reorder the terms: 2 + 8n = 5 + -1n Solving 2 + 8n = 5 + -1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add 'n' to each side of the equation. 2 + 8n + n = 5 + -1n + n Combine like terms: 8n + n = 9n 2 + 9n = 5 + -1n + n Combine like terms: -1n + n = 0 2 + 9n = 5 + 0 2 + 9n = 5 Add '-2' to each side of the equation. 2 + -2 + 9n = 5 + -2 Combine like terms: 2 + -2 = 0 0 + 9n = 5 + -2 9n = 5 + -2 Combine like terms: 5 + -2 = 3 9n = 3 Divide each side by '9'. n = 0.3333333333 Simplifying n = 0.3333333333
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