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Simplifying -2(n + 8) + 6(5 + 2n) = 0 Reorder the terms: -2(8 + n) + 6(5 + 2n) = 0 (8 * -2 + n * -2) + 6(5 + 2n) = 0 (-16 + -2n) + 6(5 + 2n) = 0 -16 + -2n + (5 * 6 + 2n * 6) = 0 -16 + -2n + (30 + 12n) = 0 Reorder the terms: -16 + 30 + -2n + 12n = 0 Combine like terms: -16 + 30 = 14 14 + -2n + 12n = 0 Combine like terms: -2n + 12n = 10n 14 + 10n = 0 Solving 14 + 10n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 10n = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 10n = 0 + -14 10n = 0 + -14 Combine like terms: 0 + -14 = -14 10n = -14 Divide each side by '10'. n = -1.4 Simplifying n = -1.4
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