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Simplifying 5(1 + -2n) + -1n = -83 (1 * 5 + -2n * 5) + -1n = -83 (5 + -10n) + -1n = -83 Combine like terms: -10n + -1n = -11n 5 + -11n = -83 Solving 5 + -11n = -83 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -11n = -83 + -5 Combine like terms: 5 + -5 = 0 0 + -11n = -83 + -5 -11n = -83 + -5 Combine like terms: -83 + -5 = -88 -11n = -88 Divide each side by '-11'. n = 8 Simplifying n = 8
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