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Simplifying 2(5n + 3) = 8 + 2(n + 3) Reorder the terms: 2(3 + 5n) = 8 + 2(n + 3) (3 * 2 + 5n * 2) = 8 + 2(n + 3) (6 + 10n) = 8 + 2(n + 3) Reorder the terms: 6 + 10n = 8 + 2(3 + n) 6 + 10n = 8 + (3 * 2 + n * 2) 6 + 10n = 8 + (6 + 2n) Combine like terms: 8 + 6 = 14 6 + 10n = 14 + 2n Solving 6 + 10n = 14 + 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. 6 + 10n + -2n = 14 + 2n + -2n Combine like terms: 10n + -2n = 8n 6 + 8n = 14 + 2n + -2n Combine like terms: 2n + -2n = 0 6 + 8n = 14 + 0 6 + 8n = 14 Add '-6' to each side of the equation. 6 + -6 + 8n = 14 + -6 Combine like terms: 6 + -6 = 0 0 + 8n = 14 + -6 8n = 14 + -6 Combine like terms: 14 + -6 = 8 8n = 8 Divide each side by '8'. n = 1 Simplifying n = 1
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