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