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Simplifying 2n + 6 + -8n = 33 + -11n + 3 Reorder the terms: 6 + 2n + -8n = 33 + -11n + 3 Combine like terms: 2n + -8n = -6n 6 + -6n = 33 + -11n + 3 Reorder the terms: 6 + -6n = 33 + 3 + -11n Combine like terms: 33 + 3 = 36 6 + -6n = 36 + -11n Solving 6 + -6n = 36 + -11n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '11n' to each side of the equation. 6 + -6n + 11n = 36 + -11n + 11n Combine like terms: -6n + 11n = 5n 6 + 5n = 36 + -11n + 11n Combine like terms: -11n + 11n = 0 6 + 5n = 36 + 0 6 + 5n = 36 Add '-6' to each side of the equation. 6 + -6 + 5n = 36 + -6 Combine like terms: 6 + -6 = 0 0 + 5n = 36 + -6 5n = 36 + -6 Combine like terms: 36 + -6 = 30 5n = 30 Divide each side by '5'. n = 6 Simplifying n = 6
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