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Simplifying 6n + -7(-2 + -7n) = 454 6n + (-2 * -7 + -7n * -7) = 454 6n + (14 + 49n) = 454 Reorder the terms: 14 + 6n + 49n = 454 Combine like terms: 6n + 49n = 55n 14 + 55n = 454 Solving 14 + 55n = 454 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 55n = 454 + -14 Combine like terms: 14 + -14 = 0 0 + 55n = 454 + -14 55n = 454 + -14 Combine like terms: 454 + -14 = 440 55n = 440 Divide each side by '55'. n = 8 Simplifying n = 8
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