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Simplifying 3n + -6 + -1 = 2 + -5n + 10 Reorder the terms: -6 + -1 + 3n = 2 + -5n + 10 Combine like terms: -6 + -1 = -7 -7 + 3n = 2 + -5n + 10 Reorder the terms: -7 + 3n = 2 + 10 + -5n Combine like terms: 2 + 10 = 12 -7 + 3n = 12 + -5n Solving -7 + 3n = 12 + -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. -7 + 3n + 5n = 12 + -5n + 5n Combine like terms: 3n + 5n = 8n -7 + 8n = 12 + -5n + 5n Combine like terms: -5n + 5n = 0 -7 + 8n = 12 + 0 -7 + 8n = 12 Add '7' to each side of the equation. -7 + 7 + 8n = 12 + 7 Combine like terms: -7 + 7 = 0 0 + 8n = 12 + 7 8n = 12 + 7 Combine like terms: 12 + 7 = 19 8n = 19 Divide each side by '8'. n = 2.375 Simplifying n = 2.375
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