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Simplifying n * 20 + (20 + -1n) * 30 = 520 Reorder the terms for easier multiplication: 20n + (20 + -1n) * 30 = 520 Reorder the terms for easier multiplication: 20n + 30(20 + -1n) = 520 20n + (20 * 30 + -1n * 30) = 520 20n + (600 + -30n) = 520 Reorder the terms: 600 + 20n + -30n = 520 Combine like terms: 20n + -30n = -10n 600 + -10n = 520 Solving 600 + -10n = 520 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-600' to each side of the equation. 600 + -600 + -10n = 520 + -600 Combine like terms: 600 + -600 = 0 0 + -10n = 520 + -600 -10n = 520 + -600 Combine like terms: 520 + -600 = -80 -10n = -80 Divide each side by '-10'. n = 8 Simplifying n = 8
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