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Simplifying -11(-1n + 1) = -6(2n + -2) Reorder the terms: -11(1 + -1n) = -6(2n + -2) (1 * -11 + -1n * -11) = -6(2n + -2) (-11 + 11n) = -6(2n + -2) Reorder the terms: -11 + 11n = -6(-2 + 2n) -11 + 11n = (-2 * -6 + 2n * -6) -11 + 11n = (12 + -12n) Solving -11 + 11n = 12 + -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. -11 + 11n + 12n = 12 + -12n + 12n Combine like terms: 11n + 12n = 23n -11 + 23n = 12 + -12n + 12n Combine like terms: -12n + 12n = 0 -11 + 23n = 12 + 0 -11 + 23n = 12 Add '11' to each side of the equation. -11 + 11 + 23n = 12 + 11 Combine like terms: -11 + 11 = 0 0 + 23n = 12 + 11 23n = 12 + 11 Combine like terms: 12 + 11 = 23 23n = 23 Divide each side by '23'. n = 1 Simplifying n = 1
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