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Simplifying n + 7 + 3n + 2 = 1 + -4n Reorder the terms: 7 + 2 + n + 3n = 1 + -4n Combine like terms: 7 + 2 = 9 9 + n + 3n = 1 + -4n Combine like terms: n + 3n = 4n 9 + 4n = 1 + -4n Solving 9 + 4n = 1 + -4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4n' to each side of the equation. 9 + 4n + 4n = 1 + -4n + 4n Combine like terms: 4n + 4n = 8n 9 + 8n = 1 + -4n + 4n Combine like terms: -4n + 4n = 0 9 + 8n = 1 + 0 9 + 8n = 1 Add '-9' to each side of the equation. 9 + -9 + 8n = 1 + -9 Combine like terms: 9 + -9 = 0 0 + 8n = 1 + -9 8n = 1 + -9 Combine like terms: 1 + -9 = -8 8n = -8 Divide each side by '8'. n = -1 Simplifying n = -1
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