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Simplifying -2(n + -6) + -1(-8n + -5) = 5n Reorder the terms: -2(-6 + n) + -1(-8n + -5) = 5n (-6 * -2 + n * -2) + -1(-8n + -5) = 5n (12 + -2n) + -1(-8n + -5) = 5n Reorder the terms: 12 + -2n + -1(-5 + -8n) = 5n 12 + -2n + (-5 * -1 + -8n * -1) = 5n 12 + -2n + (5 + 8n) = 5n Reorder the terms: 12 + 5 + -2n + 8n = 5n Combine like terms: 12 + 5 = 17 17 + -2n + 8n = 5n Combine like terms: -2n + 8n = 6n 17 + 6n = 5n Solving 17 + 6n = 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. 17 + 6n + -5n = 5n + -5n Combine like terms: 6n + -5n = 1n 17 + 1n = 5n + -5n Combine like terms: 5n + -5n = 0 17 + 1n = 0 Add '-17' to each side of the equation. 17 + -17 + 1n = 0 + -17 Combine like terms: 17 + -17 = 0 0 + 1n = 0 + -17 1n = 0 + -17 Combine like terms: 0 + -17 = -17 1n = -17 Divide each side by '1'. n = -17 Simplifying n = -17
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