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Simplifying 6n + 34 = 2(n + 6) + -7n Reorder the terms: 34 + 6n = 2(n + 6) + -7n Reorder the terms: 34 + 6n = 2(6 + n) + -7n 34 + 6n = (6 * 2 + n * 2) + -7n 34 + 6n = (12 + 2n) + -7n Combine like terms: 2n + -7n = -5n 34 + 6n = 12 + -5n Solving 34 + 6n = 12 + -5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '5n' to each side of the equation. 34 + 6n + 5n = 12 + -5n + 5n Combine like terms: 6n + 5n = 11n 34 + 11n = 12 + -5n + 5n Combine like terms: -5n + 5n = 0 34 + 11n = 12 + 0 34 + 11n = 12 Add '-34' to each side of the equation. 34 + -34 + 11n = 12 + -34 Combine like terms: 34 + -34 = 0 0 + 11n = 12 + -34 11n = 12 + -34 Combine like terms: 12 + -34 = -22 11n = -22 Divide each side by '11'. n = -2 Simplifying n = -2
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