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Simplifying -2(-7n + 1) = -6(9 + -2n) Reorder the terms: -2(1 + -7n) = -6(9 + -2n) (1 * -2 + -7n * -2) = -6(9 + -2n) (-2 + 14n) = -6(9 + -2n) -2 + 14n = (9 * -6 + -2n * -6) -2 + 14n = (-54 + 12n) Solving -2 + 14n = -54 + 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. -2 + 14n + -12n = -54 + 12n + -12n Combine like terms: 14n + -12n = 2n -2 + 2n = -54 + 12n + -12n Combine like terms: 12n + -12n = 0 -2 + 2n = -54 + 0 -2 + 2n = -54 Add '2' to each side of the equation. -2 + 2 + 2n = -54 + 2 Combine like terms: -2 + 2 = 0 0 + 2n = -54 + 2 2n = -54 + 2 Combine like terms: -54 + 2 = -52 2n = -52 Divide each side by '2'. n = -26 Simplifying n = -26
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