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Simplifying 2n + 6 + -7n = 34 + -11n + 8 Reorder the terms: 6 + 2n + -7n = 34 + -11n + 8 Combine like terms: 2n + -7n = -5n 6 + -5n = 34 + -11n + 8 Reorder the terms: 6 + -5n = 34 + 8 + -11n Combine like terms: 34 + 8 = 42 6 + -5n = 42 + -11n Solving 6 + -5n = 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. 6 + -5n + 11n = 42 + -11n + 11n Combine like terms: -5n + 11n = 6n 6 + 6n = 42 + -11n + 11n Combine like terms: -11n + 11n = 0 6 + 6n = 42 + 0 6 + 6n = 42 Add '-6' to each side of the equation. 6 + -6 + 6n = 42 + -6 Combine like terms: 6 + -6 = 0 0 + 6n = 42 + -6 6n = 42 + -6 Combine like terms: 42 + -6 = 36 6n = 36 Divide each side by '6'. n = 6 Simplifying n = 6
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