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Simplifying 5n + 10(20 + -1n) = 165 5n + (20 * 10 + -1n * 10) = 165 5n + (200 + -10n) = 165 Reorder the terms: 200 + 5n + -10n = 165 Combine like terms: 5n + -10n = -5n 200 + -5n = 165 Solving 200 + -5n = 165 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-200' to each side of the equation. 200 + -200 + -5n = 165 + -200 Combine like terms: 200 + -200 = 0 0 + -5n = 165 + -200 -5n = 165 + -200 Combine like terms: 165 + -200 = -35 -5n = -35 Divide each side by '-5'. n = 7 Simplifying n = 7
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