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Simplifying 8n + -1(3n + -5) = 5 + -1n Reorder the terms: 8n + -1(-5 + 3n) = 5 + -1n 8n + (-5 * -1 + 3n * -1) = 5 + -1n 8n + (5 + -3n) = 5 + -1n Reorder the terms: 5 + 8n + -3n = 5 + -1n Combine like terms: 8n + -3n = 5n 5 + 5n = 5 + -1n Add '-5' to each side of the equation. 5 + -5 + 5n = 5 + -5 + -1n Combine like terms: 5 + -5 = 0 0 + 5n = 5 + -5 + -1n 5n = 5 + -5 + -1n Combine like terms: 5 + -5 = 0 5n = 0 + -1n 5n = -1n Solving 5n = -1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add 'n' to each side of the equation. 5n + n = -1n + n Combine like terms: 5n + n = 6n 6n = -1n + n Combine like terms: -1n + n = 0 6n = 0 Divide each side by '6'. n = 0 Simplifying n = 0
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