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Simplifying 8n + 1 = 7n + -14 + -2n Reorder the terms: 1 + 8n = 7n + -14 + -2n Reorder the terms: 1 + 8n = -14 + 7n + -2n Combine like terms: 7n + -2n = 5n 1 + 8n = -14 + 5n Solving 1 + 8n = -14 + 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. 1 + 8n + -5n = -14 + 5n + -5n Combine like terms: 8n + -5n = 3n 1 + 3n = -14 + 5n + -5n Combine like terms: 5n + -5n = 0 1 + 3n = -14 + 0 1 + 3n = -14 Add '-1' to each side of the equation. 1 + -1 + 3n = -14 + -1 Combine like terms: 1 + -1 = 0 0 + 3n = -14 + -1 3n = -14 + -1 Combine like terms: -14 + -1 = -15 3n = -15 Divide each side by '3'. n = -5 Simplifying n = -5
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