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Simplifying 10(n + 10) = 20(n + 20) Reorder the terms: 10(10 + n) = 20(n + 20) (10 * 10 + n * 10) = 20(n + 20) (100 + 10n) = 20(n + 20) Reorder the terms: 100 + 10n = 20(20 + n) 100 + 10n = (20 * 20 + n * 20) 100 + 10n = (400 + 20n) Solving 100 + 10n = 400 + 20n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-20n' to each side of the equation. 100 + 10n + -20n = 400 + 20n + -20n Combine like terms: 10n + -20n = -10n 100 + -10n = 400 + 20n + -20n Combine like terms: 20n + -20n = 0 100 + -10n = 400 + 0 100 + -10n = 400 Add '-100' to each side of the equation. 100 + -100 + -10n = 400 + -100 Combine like terms: 100 + -100 = 0 0 + -10n = 400 + -100 -10n = 400 + -100 Combine like terms: 400 + -100 = 300 -10n = 300 Divide each side by '-10'. n = -30 Simplifying n = -30
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