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Simplifying 5(4 + 2n) = 2(3n + 10) (4 * 5 + 2n * 5) = 2(3n + 10) (20 + 10n) = 2(3n + 10) Reorder the terms: 20 + 10n = 2(10 + 3n) 20 + 10n = (10 * 2 + 3n * 2) 20 + 10n = (20 + 6n) Add '-20' to each side of the equation. 20 + -20 + 10n = 20 + -20 + 6n Combine like terms: 20 + -20 = 0 0 + 10n = 20 + -20 + 6n 10n = 20 + -20 + 6n Combine like terms: 20 + -20 = 0 10n = 0 + 6n 10n = 6n Solving 10n = 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. 10n + -6n = 6n + -6n Combine like terms: 10n + -6n = 4n 4n = 6n + -6n Combine like terms: 6n + -6n = 0 4n = 0 Divide each side by '4'. n = 0 Simplifying n = 0
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