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Simplifying 6n + 2(2n + 10) = 4(5 + n) Reorder the terms: 6n + 2(10 + 2n) = 4(5 + n) 6n + (10 * 2 + 2n * 2) = 4(5 + n) 6n + (20 + 4n) = 4(5 + n) Reorder the terms: 20 + 6n + 4n = 4(5 + n) Combine like terms: 6n + 4n = 10n 20 + 10n = 4(5 + n) 20 + 10n = (5 * 4 + n * 4) 20 + 10n = (20 + 4n) Add '-20' to each side of the equation. 20 + -20 + 10n = 20 + -20 + 4n Combine like terms: 20 + -20 = 0 0 + 10n = 20 + -20 + 4n 10n = 20 + -20 + 4n Combine like terms: 20 + -20 = 0 10n = 0 + 4n 10n = 4n Solving 10n = 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. 10n + -4n = 4n + -4n Combine like terms: 10n + -4n = 6n 6n = 4n + -4n Combine like terms: 4n + -4n = 0 6n = 0 Divide each side by '6'. n = 0 Simplifying n = 0
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