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Simplifying -5n + 2n = 1 + 5n + 8 + -1 Combine like terms: -5n + 2n = -3n -3n = 1 + 5n + 8 + -1 Reorder the terms: -3n = 1 + 8 + -1 + 5n Combine like terms: 1 + 8 = 9 -3n = 9 + -1 + 5n Combine like terms: 9 + -1 = 8 -3n = 8 + 5n Solving -3n = 8 + 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. -3n + -5n = 8 + 5n + -5n Combine like terms: -3n + -5n = -8n -8n = 8 + 5n + -5n Combine like terms: 5n + -5n = 0 -8n = 8 + 0 -8n = 8 Divide each side by '-8'. n = -1 Simplifying n = -1
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