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Simplifying -2n + -6(2 + -6n) = 7n + -39 -2n + (2 * -6 + -6n * -6) = 7n + -39 -2n + (-12 + 36n) = 7n + -39 Reorder the terms: -12 + -2n + 36n = 7n + -39 Combine like terms: -2n + 36n = 34n -12 + 34n = 7n + -39 Reorder the terms: -12 + 34n = -39 + 7n Solving -12 + 34n = -39 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. -12 + 34n + -7n = -39 + 7n + -7n Combine like terms: 34n + -7n = 27n -12 + 27n = -39 + 7n + -7n Combine like terms: 7n + -7n = 0 -12 + 27n = -39 + 0 -12 + 27n = -39 Add '12' to each side of the equation. -12 + 12 + 27n = -39 + 12 Combine like terms: -12 + 12 = 0 0 + 27n = -39 + 12 27n = -39 + 12 Combine like terms: -39 + 12 = -27 27n = -27 Divide each side by '27'. n = -1 Simplifying n = -1
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