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Simplifying 9n + 2n + -3n + 2 = 3n + 2n + n Reorder the terms: 2 + 9n + 2n + -3n = 3n + 2n + n Combine like terms: 9n + 2n = 11n 2 + 11n + -3n = 3n + 2n + n Combine like terms: 11n + -3n = 8n 2 + 8n = 3n + 2n + n Combine like terms: 3n + 2n = 5n 2 + 8n = 5n + n Combine like terms: 5n + n = 6n 2 + 8n = 6n Solving 2 + 8n = 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. 2 + 8n + -6n = 6n + -6n Combine like terms: 8n + -6n = 2n 2 + 2n = 6n + -6n Combine like terms: 6n + -6n = 0 2 + 2n = 0 Add '-2' to each side of the equation. 2 + -2 + 2n = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 2n = 0 + -2 2n = 0 + -2 Combine like terms: 0 + -2 = -2 2n = -2 Divide each side by '2'. n = -1 Simplifying n = -1
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