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Simplifying 3n + 7 + -8n = 34 + -11n + 21 Reorder the terms: 7 + 3n + -8n = 34 + -11n + 21 Combine like terms: 3n + -8n = -5n 7 + -5n = 34 + -11n + 21 Reorder the terms: 7 + -5n = 34 + 21 + -11n Combine like terms: 34 + 21 = 55 7 + -5n = 55 + -11n Solving 7 + -5n = 55 + -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. 7 + -5n + 11n = 55 + -11n + 11n Combine like terms: -5n + 11n = 6n 7 + 6n = 55 + -11n + 11n Combine like terms: -11n + 11n = 0 7 + 6n = 55 + 0 7 + 6n = 55 Add '-7' to each side of the equation. 7 + -7 + 6n = 55 + -7 Combine like terms: 7 + -7 = 0 0 + 6n = 55 + -7 6n = 55 + -7 Combine like terms: 55 + -7 = 48 6n = 48 Divide each side by '6'. n = 8 Simplifying n = 8
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