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Simplifying -2 + 6(-2n + 1) = -6(4n + -6) + -7 Reorder the terms: -2 + 6(1 + -2n) = -6(4n + -6) + -7 -2 + (1 * 6 + -2n * 6) = -6(4n + -6) + -7 -2 + (6 + -12n) = -6(4n + -6) + -7 Combine like terms: -2 + 6 = 4 4 + -12n = -6(4n + -6) + -7 Reorder the terms: 4 + -12n = -6(-6 + 4n) + -7 4 + -12n = (-6 * -6 + 4n * -6) + -7 4 + -12n = (36 + -24n) + -7 Reorder the terms: 4 + -12n = 36 + -7 + -24n Combine like terms: 36 + -7 = 29 4 + -12n = 29 + -24n Solving 4 + -12n = 29 + -24n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '24n' to each side of the equation. 4 + -12n + 24n = 29 + -24n + 24n Combine like terms: -12n + 24n = 12n 4 + 12n = 29 + -24n + 24n Combine like terms: -24n + 24n = 0 4 + 12n = 29 + 0 4 + 12n = 29 Add '-4' to each side of the equation. 4 + -4 + 12n = 29 + -4 Combine like terms: 4 + -4 = 0 0 + 12n = 29 + -4 12n = 29 + -4 Combine like terms: 29 + -4 = 25 12n = 25 Divide each side by '12'. n = 2.083333333 Simplifying n = 2.083333333
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