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Simplifying -6(-2n + -6) + -5 = 2n + -39 Reorder the terms: -6(-6 + -2n) + -5 = 2n + -39 (-6 * -6 + -2n * -6) + -5 = 2n + -39 (36 + 12n) + -5 = 2n + -39 Reorder the terms: 36 + -5 + 12n = 2n + -39 Combine like terms: 36 + -5 = 31 31 + 12n = 2n + -39 Reorder the terms: 31 + 12n = -39 + 2n Solving 31 + 12n = -39 + 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. 31 + 12n + -2n = -39 + 2n + -2n Combine like terms: 12n + -2n = 10n 31 + 10n = -39 + 2n + -2n Combine like terms: 2n + -2n = 0 31 + 10n = -39 + 0 31 + 10n = -39 Add '-31' to each side of the equation. 31 + -31 + 10n = -39 + -31 Combine like terms: 31 + -31 = 0 0 + 10n = -39 + -31 10n = -39 + -31 Combine like terms: -39 + -31 = -70 10n = -70 Divide each side by '10'. n = -7 Simplifying n = -7
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