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Simplifying 8n + -1(4n + 5) = 19 Reorder the terms: 8n + -1(5 + 4n) = 19 8n + (5 * -1 + 4n * -1) = 19 8n + (-5 + -4n) = 19 Reorder the terms: -5 + 8n + -4n = 19 Combine like terms: 8n + -4n = 4n -5 + 4n = 19 Solving -5 + 4n = 19 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 + 4n = 19 + 5 Combine like terms: -5 + 5 = 0 0 + 4n = 19 + 5 4n = 19 + 5 Combine like terms: 19 + 5 = 24 4n = 24 Divide each side by '4'. n = 6 Simplifying n = 6
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