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Simplifying 5n + -2 = 8n + 1 Reorder the terms: -2 + 5n = 8n + 1 Reorder the terms: -2 + 5n = 1 + 8n Solving -2 + 5n = 1 + 8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-8n' to each side of the equation. -2 + 5n + -8n = 1 + 8n + -8n Combine like terms: 5n + -8n = -3n -2 + -3n = 1 + 8n + -8n Combine like terms: 8n + -8n = 0 -2 + -3n = 1 + 0 -2 + -3n = 1 Add '2' to each side of the equation. -2 + 2 + -3n = 1 + 2 Combine like terms: -2 + 2 = 0 0 + -3n = 1 + 2 -3n = 1 + 2 Combine like terms: 1 + 2 = 3 -3n = 3 Divide each side by '-3'. n = -1 Simplifying n = -1
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