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Simplifying -6(1 + -3n) + -7n = -83 (1 * -6 + -3n * -6) + -7n = -83 (-6 + 18n) + -7n = -83 Combine like terms: 18n + -7n = 11n -6 + 11n = -83 Solving -6 + 11n = -83 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 11n = -83 + 6 Combine like terms: -6 + 6 = 0 0 + 11n = -83 + 6 11n = -83 + 6 Combine like terms: -83 + 6 = -77 11n = -77 Divide each side by '11'. n = -7 Simplifying n = -7
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