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