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Simplifying -6(2 + 4n) = -38 + 2n (2 * -6 + 4n * -6) = -38 + 2n (-12 + -24n) = -38 + 2n Solving -12 + -24n = -38 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. -12 + -24n + -2n = -38 + 2n + -2n Combine like terms: -24n + -2n = -26n -12 + -26n = -38 + 2n + -2n Combine like terms: 2n + -2n = 0 -12 + -26n = -38 + 0 -12 + -26n = -38 Add '12' to each side of the equation. -12 + 12 + -26n = -38 + 12 Combine like terms: -12 + 12 = 0 0 + -26n = -38 + 12 -26n = -38 + 12 Combine like terms: -38 + 12 = -26 -26n = -26 Divide each side by '-26'. n = 1 Simplifying n = 1
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