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Simplifying -6(n + -7) + -5(-8n + 5) = 17 Reorder the terms: -6(-7 + n) + -5(-8n + 5) = 17 (-7 * -6 + n * -6) + -5(-8n + 5) = 17 (42 + -6n) + -5(-8n + 5) = 17 Reorder the terms: 42 + -6n + -5(5 + -8n) = 17 42 + -6n + (5 * -5 + -8n * -5) = 17 42 + -6n + (-25 + 40n) = 17 Reorder the terms: 42 + -25 + -6n + 40n = 17 Combine like terms: 42 + -25 = 17 17 + -6n + 40n = 17 Combine like terms: -6n + 40n = 34n 17 + 34n = 17 Add '-17' to each side of the equation. 17 + -17 + 34n = 17 + -17 Combine like terms: 17 + -17 = 0 0 + 34n = 17 + -17 34n = 17 + -17 Combine like terms: 17 + -17 = 0 34n = 0 Solving 34n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Divide each side by '34'. n = 0 Simplifying n = 0
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