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Simplifying 8n + -1(3n + 8) = 27 Reorder the terms: 8n + -1(8 + 3n) = 27 8n + (8 * -1 + 3n * -1) = 27 8n + (-8 + -3n) = 27 Reorder the terms: -8 + 8n + -3n = 27 Combine like terms: 8n + -3n = 5n -8 + 5n = 27 Solving -8 + 5n = 27 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 5n = 27 + 8 Combine like terms: -8 + 8 = 0 0 + 5n = 27 + 8 5n = 27 + 8 Combine like terms: 27 + 8 = 35 5n = 35 Divide each side by '5'. n = 7 Simplifying n = 7
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