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Simplifying 5(2n + 12) = 4n Reorder the terms: 5(12 + 2n) = 4n (12 * 5 + 2n * 5) = 4n (60 + 10n) = 4n Solving 60 + 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. 60 + 10n + -4n = 4n + -4n Combine like terms: 10n + -4n = 6n 60 + 6n = 4n + -4n Combine like terms: 4n + -4n = 0 60 + 6n = 0 Add '-60' to each side of the equation. 60 + -60 + 6n = 0 + -60 Combine like terms: 60 + -60 = 0 0 + 6n = 0 + -60 6n = 0 + -60 Combine like terms: 0 + -60 = -60 6n = -60 Divide each side by '6'. n = -10 Simplifying n = -10
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