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Simplifying -424 = 2n + 8(1 + -7n) -424 = 2n + (1 * 8 + -7n * 8) -424 = 2n + (8 + -56n) Reorder the terms: -424 = 8 + 2n + -56n Combine like terms: 2n + -56n = -54n -424 = 8 + -54n Solving -424 = 8 + -54n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '54n' to each side of the equation. -424 + 54n = 8 + -54n + 54n Combine like terms: -54n + 54n = 0 -424 + 54n = 8 + 0 -424 + 54n = 8 Add '424' to each side of the equation. -424 + 424 + 54n = 8 + 424 Combine like terms: -424 + 424 = 0 0 + 54n = 8 + 424 54n = 8 + 424 Combine like terms: 8 + 424 = 432 54n = 432 Divide each side by '54'. n = 8 Simplifying n = 8
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