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Simplifying -3n + -14 = 1 + 2n + -8n Reorder the terms: -14 + -3n = 1 + 2n + -8n Combine like terms: 2n + -8n = -6n -14 + -3n = 1 + -6n Solving -14 + -3n = 1 + -6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '6n' to each side of the equation. -14 + -3n + 6n = 1 + -6n + 6n Combine like terms: -3n + 6n = 3n -14 + 3n = 1 + -6n + 6n Combine like terms: -6n + 6n = 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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