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Simplifying 263 = 5n + 8(1 + -7n) 263 = 5n + (1 * 8 + -7n * 8) 263 = 5n + (8 + -56n) Reorder the terms: 263 = 8 + 5n + -56n Combine like terms: 5n + -56n = -51n 263 = 8 + -51n Solving 263 = 8 + -51n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '51n' to each side of the equation. 263 + 51n = 8 + -51n + 51n Combine like terms: -51n + 51n = 0 263 + 51n = 8 + 0 263 + 51n = 8 Add '-263' to each side of the equation. 263 + -263 + 51n = 8 + -263 Combine like terms: 263 + -263 = 0 0 + 51n = 8 + -263 51n = 8 + -263 Combine like terms: 8 + -263 = -255 51n = -255 Divide each side by '51'. n = -5 Simplifying n = -5
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