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Simplifying 8 + 5n + -3 = 8n + 11 + -5n Reorder the terms: 8 + -3 + 5n = 8n + 11 + -5n Combine like terms: 8 + -3 = 5 5 + 5n = 8n + 11 + -5n Reorder the terms: 5 + 5n = 11 + 8n + -5n Combine like terms: 8n + -5n = 3n 5 + 5n = 11 + 3n Solving 5 + 5n = 11 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. 5 + 5n + -3n = 11 + 3n + -3n Combine like terms: 5n + -3n = 2n 5 + 2n = 11 + 3n + -3n Combine like terms: 3n + -3n = 0 5 + 2n = 11 + 0 5 + 2n = 11 Add '-5' to each side of the equation. 5 + -5 + 2n = 11 + -5 Combine like terms: 5 + -5 = 0 0 + 2n = 11 + -5 2n = 11 + -5 Combine like terms: 11 + -5 = 6 2n = 6 Divide each side by '2'. n = 3 Simplifying n = 3
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