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Simplifying 8n + -1(2n + 5) = 43 Reorder the terms: 8n + -1(5 + 2n) = 43 8n + (5 * -1 + 2n * -1) = 43 8n + (-5 + -2n) = 43 Reorder the terms: -5 + 8n + -2n = 43 Combine like terms: 8n + -2n = 6n -5 + 6n = 43 Solving -5 + 6n = 43 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 + 6n = 43 + 5 Combine like terms: -5 + 5 = 0 0 + 6n = 43 + 5 6n = 43 + 5 Combine like terms: 43 + 5 = 48 6n = 48 Divide each side by '6'. n = 8 Simplifying n = 8
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