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Simplifying (8n + -5) + -1(2n + -10) = 17 Reorder the terms: (-5 + 8n) + -1(2n + -10) = 17 Remove parenthesis around (-5 + 8n) -5 + 8n + -1(2n + -10) = 17 Reorder the terms: -5 + 8n + -1(-10 + 2n) = 17 -5 + 8n + (-10 * -1 + 2n * -1) = 17 -5 + 8n + (10 + -2n) = 17 Reorder the terms: -5 + 10 + 8n + -2n = 17 Combine like terms: -5 + 10 = 5 5 + 8n + -2n = 17 Combine like terms: 8n + -2n = 6n 5 + 6n = 17 Solving 5 + 6n = 17 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 6n = 17 + -5 Combine like terms: 5 + -5 = 0 0 + 6n = 17 + -5 6n = 17 + -5 Combine like terms: 17 + -5 = 12 6n = 12 Divide each side by '6'. n = 2 Simplifying n = 2
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