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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 = -14 4n = -14 Divide each side by '4'. n = -3.5 Simplifying n = -3.5
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