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Simplifying -123 = n + -5(7 + -2n) -123 = n + (7 * -5 + -2n * -5) -123 = n + (-35 + 10n) Reorder the terms: -123 = -35 + n + 10n Combine like terms: n + 10n = 11n -123 = -35 + 11n Solving -123 = -35 + 11n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-11n' to each side of the equation. -123 + -11n = -35 + 11n + -11n Combine like terms: 11n + -11n = 0 -123 + -11n = -35 + 0 -123 + -11n = -35 Add '123' to each side of the equation. -123 + 123 + -11n = -35 + 123 Combine like terms: -123 + 123 = 0 0 + -11n = -35 + 123 -11n = -35 + 123 Combine like terms: -35 + 123 = 88 -11n = 88 Divide each side by '-11'. n = -8 Simplifying n = -8
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