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Simplifying 5(3 + 2n) = 39 + 2n (3 * 5 + 2n * 5) = 39 + 2n (15 + 10n) = 39 + 2n Solving 15 + 10n = 39 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. 15 + 10n + -2n = 39 + 2n + -2n Combine like terms: 10n + -2n = 8n 15 + 8n = 39 + 2n + -2n Combine like terms: 2n + -2n = 0 15 + 8n = 39 + 0 15 + 8n = 39 Add '-15' to each side of the equation. 15 + -15 + 8n = 39 + -15 Combine like terms: 15 + -15 = 0 0 + 8n = 39 + -15 8n = 39 + -15 Combine like terms: 39 + -15 = 24 8n = 24 Divide each side by '8'. n = 3 Simplifying n = 3
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