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Simplifying -4n + -1(n + 6) = 9 + -8n Reorder the terms: -4n + -1(6 + n) = 9 + -8n -4n + (6 * -1 + n * -1) = 9 + -8n -4n + (-6 + -1n) = 9 + -8n Reorder the terms: -6 + -4n + -1n = 9 + -8n Combine like terms: -4n + -1n = -5n -6 + -5n = 9 + -8n Solving -6 + -5n = 9 + -8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '8n' to each side of the equation. -6 + -5n + 8n = 9 + -8n + 8n Combine like terms: -5n + 8n = 3n -6 + 3n = 9 + -8n + 8n Combine like terms: -8n + 8n = 0 -6 + 3n = 9 + 0 -6 + 3n = 9 Add '6' to each side of the equation. -6 + 6 + 3n = 9 + 6 Combine like terms: -6 + 6 = 0 0 + 3n = 9 + 6 3n = 9 + 6 Combine like terms: 9 + 6 = 15 3n = 15 Divide each side by '3'. n = 5 Simplifying n = 5
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