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Simplifying 8n + 11 + -6n = 5n + 35 Reorder the terms: 11 + 8n + -6n = 5n + 35 Combine like terms: 8n + -6n = 2n 11 + 2n = 5n + 35 Reorder the terms: 11 + 2n = 35 + 5n Solving 11 + 2n = 35 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. 11 + 2n + -5n = 35 + 5n + -5n Combine like terms: 2n + -5n = -3n 11 + -3n = 35 + 5n + -5n Combine like terms: 5n + -5n = 0 11 + -3n = 35 + 0 11 + -3n = 35 Add '-11' to each side of the equation. 11 + -11 + -3n = 35 + -11 Combine like terms: 11 + -11 = 0 0 + -3n = 35 + -11 -3n = 35 + -11 Combine like terms: 35 + -11 = 24 -3n = 24 Divide each side by '-3'. n = -8 Simplifying n = -8
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