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Simplifying -2(1 + -8n) + n = 5n + 22 (1 * -2 + -8n * -2) + n = 5n + 22 (-2 + 16n) + n = 5n + 22 Combine like terms: 16n + n = 17n -2 + 17n = 5n + 22 Reorder the terms: -2 + 17n = 22 + 5n Solving -2 + 17n = 22 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. -2 + 17n + -5n = 22 + 5n + -5n Combine like terms: 17n + -5n = 12n -2 + 12n = 22 + 5n + -5n Combine like terms: 5n + -5n = 0 -2 + 12n = 22 + 0 -2 + 12n = 22 Add '2' to each side of the equation. -2 + 2 + 12n = 22 + 2 Combine like terms: -2 + 2 = 0 0 + 12n = 22 + 2 12n = 22 + 2 Combine like terms: 22 + 2 = 24 12n = 24 Divide each side by '12'. n = 2 Simplifying n = 2
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