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Simplifying 8n + -1(5n + 6) = 15 Reorder the terms: 8n + -1(6 + 5n) = 15 8n + (6 * -1 + 5n * -1) = 15 8n + (-6 + -5n) = 15 Reorder the terms: -6 + 8n + -5n = 15 Combine like terms: 8n + -5n = 3n -6 + 3n = 15 Solving -6 + 3n = 15 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 3n = 15 + 6 Combine like terms: -6 + 6 = 0 0 + 3n = 15 + 6 3n = 15 + 6 Combine like terms: 15 + 6 = 21 3n = 21 Divide each side by '3'. n = 7 Simplifying n = 7
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