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