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Simplifying 271 = 5n + -11(9n + 1) Reorder the terms: 271 = 5n + -11(1 + 9n) 271 = 5n + (1 * -11 + 9n * -11) 271 = 5n + (-11 + -99n) Reorder the terms: 271 = -11 + 5n + -99n Combine like terms: 5n + -99n = -94n 271 = -11 + -94n Solving 271 = -11 + -94n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '94n' to each side of the equation. 271 + 94n = -11 + -94n + 94n Combine like terms: -94n + 94n = 0 271 + 94n = -11 + 0 271 + 94n = -11 Add '-271' to each side of the equation. 271 + -271 + 94n = -11 + -271 Combine like terms: 271 + -271 = 0 0 + 94n = -11 + -271 94n = -11 + -271 Combine like terms: -11 + -271 = -282 94n = -282 Divide each side by '94'. n = -3 Simplifying n = -3
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