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Simplifying -123 = -4 + -7(1 + -2n) -123 = -4 + (1 * -7 + -2n * -7) -123 = -4 + (-7 + 14n) Combine like terms: -4 + -7 = -11 -123 = -11 + 14n Solving -123 = -11 + 14n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-14n' to each side of the equation. -123 + -14n = -11 + 14n + -14n Combine like terms: 14n + -14n = 0 -123 + -14n = -11 + 0 -123 + -14n = -11 Add '123' to each side of the equation. -123 + 123 + -14n = -11 + 123 Combine like terms: -123 + 123 = 0 0 + -14n = -11 + 123 -14n = -11 + 123 Combine like terms: -11 + 123 = 112 -14n = 112 Divide each side by '-14'. n = -8 Simplifying n = -8
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