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Simplifying 8n + -1(4n + 7) = 5 Reorder the terms: 8n + -1(7 + 4n) = 5 8n + (7 * -1 + 4n * -1) = 5 8n + (-7 + -4n) = 5 Reorder the terms: -7 + 8n + -4n = 5 Combine like terms: 8n + -4n = 4n -7 + 4n = 5 Solving -7 + 4n = 5 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 4n = 5 + 7 Combine like terms: -7 + 7 = 0 0 + 4n = 5 + 7 4n = 5 + 7 Combine like terms: 5 + 7 = 12 4n = 12 Divide each side by '4'. n = 3 Simplifying n = 3
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