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Simplifying -5(-8 + -2n) + 6 = 22 + -2n (-8 * -5 + -2n * -5) + 6 = 22 + -2n (40 + 10n) + 6 = 22 + -2n Reorder the terms: 40 + 6 + 10n = 22 + -2n Combine like terms: 40 + 6 = 46 46 + 10n = 22 + -2n Solving 46 + 10n = 22 + -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. 46 + 10n + 2n = 22 + -2n + 2n Combine like terms: 10n + 2n = 12n 46 + 12n = 22 + -2n + 2n Combine like terms: -2n + 2n = 0 46 + 12n = 22 + 0 46 + 12n = 22 Add '-46' to each side of the equation. 46 + -46 + 12n = 22 + -46 Combine like terms: 46 + -46 = 0 0 + 12n = 22 + -46 12n = 22 + -46 Combine like terms: 22 + -46 = -24 12n = -24 Divide each side by '12'. n = -2 Simplifying n = -2
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