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Simplifying 10(n + 2) = 2(10n + 5) Reorder the terms: 10(2 + n) = 2(10n + 5) (2 * 10 + n * 10) = 2(10n + 5) (20 + 10n) = 2(10n + 5) Reorder the terms: 20 + 10n = 2(5 + 10n) 20 + 10n = (5 * 2 + 10n * 2) 20 + 10n = (10 + 20n) Solving 20 + 10n = 10 + 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. 20 + 10n + -20n = 10 + 20n + -20n Combine like terms: 10n + -20n = -10n 20 + -10n = 10 + 20n + -20n Combine like terms: 20n + -20n = 0 20 + -10n = 10 + 0 20 + -10n = 10 Add '-20' to each side of the equation. 20 + -20 + -10n = 10 + -20 Combine like terms: 20 + -20 = 0 0 + -10n = 10 + -20 -10n = 10 + -20 Combine like terms: 10 + -20 = -10 -10n = -10 Divide each side by '-10'. n = 1 Simplifying n = 1
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