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Simplifying 8n + -1(4n + 7) = 9 Reorder the terms: 8n + -1(7 + 4n) = 9 8n + (7 * -1 + 4n * -1) = 9 8n + (-7 + -4n) = 9 Reorder the terms: -7 + 8n + -4n = 9 Combine like terms: 8n + -4n = 4n -7 + 4n = 9 Solving -7 + 4n = 9 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 = 9 + 7 Combine like terms: -7 + 7 = 0 0 + 4n = 9 + 7 4n = 9 + 7 Combine like terms: 9 + 7 = 16 4n = 16 Divide each side by '4'. n = 4 Simplifying n = 4
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