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Simplifying -7(2 + -2n) = -38 + 2n (2 * -7 + -2n * -7) = -38 + 2n (-14 + 14n) = -38 + 2n Solving -14 + 14n = -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. -14 + 14n + -2n = -38 + 2n + -2n Combine like terms: 14n + -2n = 12n -14 + 12n = -38 + 2n + -2n Combine like terms: 2n + -2n = 0 -14 + 12n = -38 + 0 -14 + 12n = -38 Add '14' to each side of the equation. -14 + 14 + 12n = -38 + 14 Combine like terms: -14 + 14 = 0 0 + 12n = -38 + 14 12n = -38 + 14 Combine like terms: -38 + 14 = -24 12n = -24 Divide each side by '12'. n = -2 Simplifying n = -2
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