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Simplifying 5(2n + 4) = 2(4n + 3) Reorder the terms: 5(4 + 2n) = 2(4n + 3) (4 * 5 + 2n * 5) = 2(4n + 3) (20 + 10n) = 2(4n + 3) Reorder the terms: 20 + 10n = 2(3 + 4n) 20 + 10n = (3 * 2 + 4n * 2) 20 + 10n = (6 + 8n) Solving 20 + 10n = 6 + 8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-8n' to each side of the equation. 20 + 10n + -8n = 6 + 8n + -8n Combine like terms: 10n + -8n = 2n 20 + 2n = 6 + 8n + -8n Combine like terms: 8n + -8n = 0 20 + 2n = 6 + 0 20 + 2n = 6 Add '-20' to each side of the equation. 20 + -20 + 2n = 6 + -20 Combine like terms: 20 + -20 = 0 0 + 2n = 6 + -20 2n = 6 + -20 Combine like terms: 6 + -20 = -14 2n = -14 Divide each side by '2'. n = -7 Simplifying n = -7
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