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Simplifying 8n + -1(3n + -5) = 40 Reorder the terms: 8n + -1(-5 + 3n) = 40 8n + (-5 * -1 + 3n * -1) = 40 8n + (5 + -3n) = 40 Reorder the terms: 5 + 8n + -3n = 40 Combine like terms: 8n + -3n = 5n 5 + 5n = 40 Solving 5 + 5n = 40 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 + 5n = 40 + -5 Combine like terms: 5 + -5 = 0 0 + 5n = 40 + -5 5n = 40 + -5 Combine like terms: 40 + -5 = 35 5n = 35 Divide each side by '5'. n = 7 Simplifying n = 7
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