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Simplifying 2n + 7 + -8n = 34 + -11n + 13 Reorder the terms: 7 + 2n + -8n = 34 + -11n + 13 Combine like terms: 2n + -8n = -6n 7 + -6n = 34 + -11n + 13 Reorder the terms: 7 + -6n = 34 + 13 + -11n Combine like terms: 34 + 13 = 47 7 + -6n = 47 + -11n Solving 7 + -6n = 47 + -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 = 47 + -11n + 11n Combine like terms: -6n + 11n = 5n 7 + 5n = 47 + -11n + 11n Combine like terms: -11n + 11n = 0 7 + 5n = 47 + 0 7 + 5n = 47 Add '-7' to each side of the equation. 7 + -7 + 5n = 47 + -7 Combine like terms: 7 + -7 = 0 0 + 5n = 47 + -7 5n = 47 + -7 Combine like terms: 47 + -7 = 40 5n = 40 Divide each side by '5'. n = 8 Simplifying n = 8
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