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Simplifying 9 + 8n + -6 = 5n + 33 + -2n Reorder the terms: 9 + -6 + 8n = 5n + 33 + -2n Combine like terms: 9 + -6 = 3 3 + 8n = 5n + 33 + -2n Reorder the terms: 3 + 8n = 33 + 5n + -2n Combine like terms: 5n + -2n = 3n 3 + 8n = 33 + 3n Solving 3 + 8n = 33 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. 3 + 8n + -3n = 33 + 3n + -3n Combine like terms: 8n + -3n = 5n 3 + 5n = 33 + 3n + -3n Combine like terms: 3n + -3n = 0 3 + 5n = 33 + 0 3 + 5n = 33 Add '-3' to each side of the equation. 3 + -3 + 5n = 33 + -3 Combine like terms: 3 + -3 = 0 0 + 5n = 33 + -3 5n = 33 + -3 Combine like terms: 33 + -3 = 30 5n = 30 Divide each side by '5'. n = 6 Simplifying n = 6
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