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Simplifying 2n + 7 + -8n = 34 + -11n + 8 Reorder the terms: 7 + 2n + -8n = 34 + -11n + 8 Combine like terms: 2n + -8n = -6n 7 + -6n = 34 + -11n + 8 Reorder the terms: 7 + -6n = 34 + 8 + -11n Combine like terms: 34 + 8 = 42 7 + -6n = 42 + -11n Solving 7 + -6n = 42 + -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 + -6n + 11n = 42 + -11n + 11n Combine like terms: -6n + 11n = 5n 7 + 5n = 42 + -11n + 11n Combine like terms: -11n + 11n = 0 7 + 5n = 42 + 0 7 + 5n = 42 Add '-7' to each side of the equation. 7 + -7 + 5n = 42 + -7 Combine like terms: 7 + -7 = 0 0 + 5n = 42 + -7 5n = 42 + -7 Combine like terms: 42 + -7 = 35 5n = 35 Divide each side by '5'. n = 7 Simplifying n = 7
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