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Simplifying -2n + 6(-2n + 1) = -38 + -3n Reorder the terms: -2n + 6(1 + -2n) = -38 + -3n -2n + (1 * 6 + -2n * 6) = -38 + -3n -2n + (6 + -12n) = -38 + -3n Reorder the terms: 6 + -2n + -12n = -38 + -3n Combine like terms: -2n + -12n = -14n 6 + -14n = -38 + -3n Solving 6 + -14n = -38 + -3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '3n' to each side of the equation. 6 + -14n + 3n = -38 + -3n + 3n Combine like terms: -14n + 3n = -11n 6 + -11n = -38 + -3n + 3n Combine like terms: -3n + 3n = 0 6 + -11n = -38 + 0 6 + -11n = -38 Add '-6' to each side of the equation. 6 + -6 + -11n = -38 + -6 Combine like terms: 6 + -6 = 0 0 + -11n = -38 + -6 -11n = -38 + -6 Combine like terms: -38 + -6 = -44 -11n = -44 Divide each side by '-11'. n = 4 Simplifying n = 4
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