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Simplifying 5(4 + 8n) + 6(n + -5) = 36 (4 * 5 + 8n * 5) + 6(n + -5) = 36 (20 + 40n) + 6(n + -5) = 36 Reorder the terms: 20 + 40n + 6(-5 + n) = 36 20 + 40n + (-5 * 6 + n * 6) = 36 20 + 40n + (-30 + 6n) = 36 Reorder the terms: 20 + -30 + 40n + 6n = 36 Combine like terms: 20 + -30 = -10 -10 + 40n + 6n = 36 Combine like terms: 40n + 6n = 46n -10 + 46n = 36 Solving -10 + 46n = 36 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 46n = 36 + 10 Combine like terms: -10 + 10 = 0 0 + 46n = 36 + 10 46n = 36 + 10 Combine like terms: 36 + 10 = 46 46n = 46 Divide each side by '46'. n = 1 Simplifying n = 1
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