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Simplifying 263 = -4n + -7(1 + -7n) 263 = -4n + (1 * -7 + -7n * -7) 263 = -4n + (-7 + 49n) Reorder the terms: 263 = -7 + -4n + 49n Combine like terms: -4n + 49n = 45n 263 = -7 + 45n Solving 263 = -7 + 45n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-45n' to each side of the equation. 263 + -45n = -7 + 45n + -45n Combine like terms: 45n + -45n = 0 263 + -45n = -7 + 0 263 + -45n = -7 Add '-263' to each side of the equation. 263 + -263 + -45n = -7 + -263 Combine like terms: 263 + -263 = 0 0 + -45n = -7 + -263 -45n = -7 + -263 Combine like terms: -7 + -263 = -270 -45n = -270 Divide each side by '-45'. n = 6 Simplifying n = 6
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